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Finding the Fourth Proportional to 176.02, 242.89 and 97.33

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Solution

The fourth proportional to 176.02, 242.89 and 97.33 is: 134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.02 : 242.89 = 97.33 : x
  2. Step 2: Convert to fraction form
    176.02/242.89 = 97.33/x
  3. Step 3: Cross multiply
    176.02x = 242.89 × 97.33
  4. Step 4: Simplify right side
    176.02x = 23,640.48
  5. Step 5: Solve for x
    x = 23,640.48/176.02
  6. Step 6: Final answer
    x = 134.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.