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Finding the Fourth Proportional to 150.18, 206.71 and 113.32

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Solution

The fourth proportional to 150.18, 206.71 and 113.32 is: 155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.18 : 206.71 = 113.32 : x
  2. Step 2: Convert to fraction form
    150.18/206.71 = 113.32/x
  3. Step 3: Cross multiply
    150.18x = 206.71 × 113.32
  4. Step 4: Simplify right side
    150.18x = 23,424.38
  5. Step 5: Solve for x
    x = 23,424.38/150.18
  6. Step 6: Final answer
    x = 155.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.