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Finding the Fourth Proportional to 176.28, 243.25 and 102.59

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Solution

The fourth proportional to 176.28, 243.25 and 102.59 is: 141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.28 : 243.25 = 102.59 : x
  2. Step 2: Convert to fraction form
    176.28/243.25 = 102.59/x
  3. Step 3: Cross multiply
    176.28x = 243.25 × 102.59
  4. Step 4: Simplify right side
    176.28x = 24,955.02
  5. Step 5: Solve for x
    x = 24,955.02/176.28
  6. Step 6: Final answer
    x = 141.56

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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.