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Finding the Fourth Proportional to 176.16, 243 and 126.98

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Solution

The fourth proportional to 176.16, 243 and 126.98 is: 175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.16 : 243 = 126.98 : x
  2. Step 2: Convert to fraction form
    176.16/243 = 126.98/x
  3. Step 3: Cross multiply
    176.16x = 243 × 126.98
  4. Step 4: Simplify right side
    176.16x = 30,854.93
  5. Step 5: Solve for x
    x = 30,854.93/176.16
  6. Step 6: Final answer
    x = 175.15

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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.