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Finding the Fourth Proportional to 177.91, 266.86 and 117.46

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Solution

The fourth proportional to 177.91, 266.86 and 117.46 is: 176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.91 : 266.86 = 117.46 : x
  2. Step 2: Convert to fraction form
    177.91/266.86 = 117.46/x
  3. Step 3: Cross multiply
    177.91x = 266.86 × 117.46
  4. Step 4: Simplify right side
    177.91x = 31,345.86
  5. Step 5: Solve for x
    x = 31,345.86/177.91
  6. Step 6: Final answer
    x = 176.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.