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Finding the Fourth Proportional to 176.64, 243.77 and 102.98

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Solution

The fourth proportional to 176.64, 243.77 and 102.98 is: 142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 243.77 = 102.98 : x
  2. Step 2: Convert to fraction form
    176.64/243.77 = 102.98/x
  3. Step 3: Cross multiply
    176.64x = 243.77 × 102.98
  4. Step 4: Simplify right side
    176.64x = 25,103.43
  5. Step 5: Solve for x
    x = 25,103.43/176.64
  6. Step 6: Final answer
    x = 142.12

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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.