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Finding the Fourth Proportional to 150.40, 206.36 and 147.76

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Solution

The fourth proportional to 150.40, 206.36 and 147.76 is: 202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 206.36 = 147.76 : x
  2. Step 2: Convert to fraction form
    150.40/206.36 = 147.76/x
  3. Step 3: Cross multiply
    150.40x = 206.36 × 147.76
  4. Step 4: Simplify right side
    150.40x = 30,491.75
  5. Step 5: Solve for x
    x = 30,491.75/150.40
  6. Step 6: Final answer
    x = 202.74

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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.