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Finding the Fourth Proportional to 176.47, 264.71 and 54.73

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Solution

The fourth proportional to 176.47, 264.71 and 54.73 is: 82.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.47 : 264.71 = 54.73 : x
  2. Step 2: Convert to fraction form
    176.47/264.71 = 54.73/x
  3. Step 3: Cross multiply
    176.47x = 264.71 × 54.73
  4. Step 4: Simplify right side
    176.47x = 14,487.58
  5. Step 5: Solve for x
    x = 14,487.58/176.47
  6. Step 6: Final answer
    x = 82.10

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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.