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Finding the Fourth Proportional to 176.80, 264.70 and 99.62

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Solution

The fourth proportional to 176.80, 264.70 and 99.62 is: 149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 264.70 = 99.62 : x
  2. Step 2: Convert to fraction form
    176.80/264.70 = 99.62/x
  3. Step 3: Cross multiply
    176.80x = 264.70 × 99.62
  4. Step 4: Simplify right side
    176.80x = 26,369.83
  5. Step 5: Solve for x
    x = 26,369.83/176.80
  6. Step 6: Final answer
    x = 149.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.