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Finding the Fourth Proportional to 253.48, 380.25 and 88.92

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Solution

The fourth proportional to 253.48, 380.25 and 88.92 is: 133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.48 : 380.25 = 88.92 : x
  2. Step 2: Convert to fraction form
    253.48/380.25 = 88.92/x
  3. Step 3: Cross multiply
    253.48x = 380.25 × 88.92
  4. Step 4: Simplify right side
    253.48x = 33,811.39
  5. Step 5: Solve for x
    x = 33,811.39/253.48
  6. Step 6: Final answer
    x = 133.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.