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Finding the Fourth Proportional to 253.16, 379.92 and 90.84

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Solution

The fourth proportional to 253.16, 379.92 and 90.84 is: 136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.16 : 379.92 = 90.84 : x
  2. Step 2: Convert to fraction form
    253.16/379.92 = 90.84/x
  3. Step 3: Cross multiply
    253.16x = 379.92 × 90.84
  4. Step 4: Simplify right side
    253.16x = 34,511.93
  5. Step 5: Solve for x
    x = 34,511.93/253.16
  6. Step 6: Final answer
    x = 136.32

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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.