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Finding the Fourth Proportional to 176.16, 243.10 and 101.47

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Solution

The fourth proportional to 176.16, 243.10 and 101.47 is: 140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.16 : 243.10 = 101.47 : x
  2. Step 2: Convert to fraction form
    176.16/243.10 = 101.47/x
  3. Step 3: Cross multiply
    176.16x = 243.10 × 101.47
  4. Step 4: Simplify right side
    176.16x = 24,667.22
  5. Step 5: Solve for x
    x = 24,667.22/176.16
  6. Step 6: Final answer
    x = 140.03

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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.