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Finding the Fourth Proportional to 176.26, 243.23 and 102.58

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Solution

The fourth proportional to 176.26, 243.23 and 102.58 is: 141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.26 : 243.23 = 102.58 : x
  2. Step 2: Convert to fraction form
    176.26/243.23 = 102.58/x
  3. Step 3: Cross multiply
    176.26x = 243.23 × 102.58
  4. Step 4: Simplify right side
    176.26x = 24,950.53
  5. Step 5: Solve for x
    x = 24,950.53/176.26
  6. Step 6: Final answer
    x = 141.56

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Why These Related Problems?

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