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Finding the Fourth Proportional to 176.17, 262.96 and 155.90

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Solution

The fourth proportional to 176.17, 262.96 and 155.90 is: 232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.17 : 262.96 = 155.90 : x
  2. Step 2: Convert to fraction form
    176.17/262.96 = 155.90/x
  3. Step 3: Cross multiply
    176.17x = 262.96 × 155.90
  4. Step 4: Simplify right side
    176.17x = 40,995.46
  5. Step 5: Solve for x
    x = 40,995.46/176.17
  6. Step 6: Final answer
    x = 232.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.