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Finding the Fourth Proportional to 177.54, 264.97 and 150.10

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Solution

The fourth proportional to 177.54, 264.97 and 150.10 is: 224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.54 : 264.97 = 150.10 : x
  2. Step 2: Convert to fraction form
    177.54/264.97 = 150.10/x
  3. Step 3: Cross multiply
    177.54x = 264.97 × 150.10
  4. Step 4: Simplify right side
    177.54x = 39,773.01
  5. Step 5: Solve for x
    x = 39,773.01/177.54
  6. Step 6: Final answer
    x = 224.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.