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Finding the Fourth Proportional to 177.91, 265.66 and 152.20

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Solution

The fourth proportional to 177.91, 265.66 and 152.20 is: 227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.91 : 265.66 = 152.20 : x
  2. Step 2: Convert to fraction form
    177.91/265.66 = 152.20/x
  3. Step 3: Cross multiply
    177.91x = 265.66 × 152.20
  4. Step 4: Simplify right side
    177.91x = 40,432.77
  5. Step 5: Solve for x
    x = 40,432.77/177.91
  6. Step 6: Final answer
    x = 227.26

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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.