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Finding the Fourth Proportional to 176.53, 243.50 and 139.78

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Solution

The fourth proportional to 176.53, 243.50 and 139.78 is: 192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.53 : 243.50 = 139.78 : x
  2. Step 2: Convert to fraction form
    176.53/243.50 = 139.78/x
  3. Step 3: Cross multiply
    176.53x = 243.50 × 139.78
  4. Step 4: Simplify right side
    176.53x = 34,036.43
  5. Step 5: Solve for x
    x = 34,036.43/176.53
  6. Step 6: Final answer
    x = 192.81

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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.