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Finding the Fourth Proportional to 176.59, 264.87 and 54.82

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Solution

The fourth proportional to 176.59, 264.87 and 54.82 is: 82.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.59 : 264.87 = 54.82 : x
  2. Step 2: Convert to fraction form
    176.59/264.87 = 54.82/x
  3. Step 3: Cross multiply
    176.59x = 264.87 × 54.82
  4. Step 4: Simplify right side
    176.59x = 14,520.17
  5. Step 5: Solve for x
    x = 14,520.17/176.59
  6. Step 6: Final answer
    x = 82.23

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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.