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Finding the Fourth Proportional to 269.98, 372.64 and 176.84

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Solution

The fourth proportional to 269.98, 372.64 and 176.84 is: 244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.98 : 372.64 = 176.84 : x
  2. Step 2: Convert to fraction form
    269.98/372.64 = 176.84/x
  3. Step 3: Cross multiply
    269.98x = 372.64 × 176.84
  4. Step 4: Simplify right side
    269.98x = 65,897.66
  5. Step 5: Solve for x
    x = 65,897.66/269.98
  6. Step 6: Final answer
    x = 244.08

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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.