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Finding the Fourth Proportional to 176.10, 264.14 and 47.86

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Solution

The fourth proportional to 176.10, 264.14 and 47.86 is: 71.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 264.14 = 47.86 : x
  2. Step 2: Convert to fraction form
    176.10/264.14 = 47.86/x
  3. Step 3: Cross multiply
    176.10x = 264.14 × 47.86
  4. Step 4: Simplify right side
    176.10x = 12,641.74
  5. Step 5: Solve for x
    x = 12,641.74/176.10
  6. Step 6: Final answer
    x = 71.79

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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.