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Finding the Fourth Proportional to 176.11, 264.16 and 47.86

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Solution

The fourth proportional to 176.11, 264.16 and 47.86 is: 71.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.11 : 264.16 = 47.86 : x
  2. Step 2: Convert to fraction form
    176.11/264.16 = 47.86/x
  3. Step 3: Cross multiply
    176.11x = 264.16 × 47.86
  4. Step 4: Simplify right side
    176.11x = 12,642.73
  5. Step 5: Solve for x
    x = 12,642.73/176.11
  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.