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Finding the Fourth Proportional to 176.38, 243.40 and 107.38

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Solution

The fourth proportional to 176.38, 243.40 and 107.38 is: 148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.38 : 243.40 = 107.38 : x
  2. Step 2: Convert to fraction form
    176.38/243.40 = 107.38/x
  3. Step 3: Cross multiply
    176.38x = 243.40 × 107.38
  4. Step 4: Simplify right side
    176.38x = 26,134.81
  5. Step 5: Solve for x
    x = 26,134.81/176.38
  6. Step 6: Final answer
    x = 148.18

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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.