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Finding the Fourth Proportional to 177.19, 264.57 and 151.52

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Solution

The fourth proportional to 177.19, 264.57 and 151.52 is: 226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 264.57 = 151.52 : x
  2. Step 2: Convert to fraction form
    177.19/264.57 = 151.52/x
  3. Step 3: Cross multiply
    177.19x = 264.57 × 151.52
  4. Step 4: Simplify right side
    177.19x = 40,087.24
  5. Step 5: Solve for x
    x = 40,087.24/177.19
  6. Step 6: Final answer
    x = 226.24

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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.