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Finding the Fourth Proportional to 176.02, 264 and 47.78

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Solution

The fourth proportional to 176.02, 264 and 47.78 is: 71.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.02 : 264 = 47.78 : x
  2. Step 2: Convert to fraction form
    176.02/264 = 47.78/x
  3. Step 3: Cross multiply
    176.02x = 264 × 47.78
  4. Step 4: Simplify right side
    176.02x = 12,613.92
  5. Step 5: Solve for x
    x = 12,613.92/176.02
  6. Step 6: Final answer
    x = 71.66

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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.