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Finding the Fourth Proportional to 176.22, 265.37 and 130.91

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Solution

The fourth proportional to 176.22, 265.37 and 130.91 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 265.37 = 130.91 : x
  2. Step 2: Convert to fraction form
    176.22/265.37 = 130.91/x
  3. Step 3: Cross multiply
    176.22x = 265.37 × 130.91
  4. Step 4: Simplify right side
    176.22x = 34,737.61
  5. Step 5: Solve for x
    x = 34,737.61/176.22
  6. Step 6: Final answer
    x = 197.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.