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Finding the Fourth Proportional to 150.19, 206.11 and 146.32

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Solution

The fourth proportional to 150.19, 206.11 and 146.32 is: 200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 206.11 = 146.32 : x
  2. Step 2: Convert to fraction form
    150.19/206.11 = 146.32/x
  3. Step 3: Cross multiply
    150.19x = 206.11 × 146.32
  4. Step 4: Simplify right side
    150.19x = 30,156.98
  5. Step 5: Solve for x
    x = 30,156.98/150.19
  6. Step 6: Final answer
    x = 200.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.