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Finding the Fourth Proportional to 177.16, 264.59 and 151.54

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Solution

The fourth proportional to 177.16, 264.59 and 151.54 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.16 : 264.59 = 151.54 : x
  2. Step 2: Convert to fraction form
    177.16/264.59 = 151.54/x
  3. Step 3: Cross multiply
    177.16x = 264.59 × 151.54
  4. Step 4: Simplify right side
    177.16x = 40,095.97
  5. Step 5: Solve for x
    x = 40,095.97/177.16
  6. Step 6: Final answer
    x = 226.33

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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.