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Finding the Fourth Proportional to 176.04, 264 and 84.66

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Solution

The fourth proportional to 176.04, 264 and 84.66 is: 126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.04 : 264 = 84.66 : x
  2. Step 2: Convert to fraction form
    176.04/264 = 84.66/x
  3. Step 3: Cross multiply
    176.04x = 264 × 84.66
  4. Step 4: Simplify right side
    176.04x = 22,350.24
  5. Step 5: Solve for x
    x = 22,350.24/176.04
  6. Step 6: Final answer
    x = 126.96

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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.