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Finding the Fourth Proportional to 252.55, 378.83 and 90.23

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Solution

The fourth proportional to 252.55, 378.83 and 90.23 is: 135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.55 : 378.83 = 90.23 : x
  2. Step 2: Convert to fraction form
    252.55/378.83 = 90.23/x
  3. Step 3: Cross multiply
    252.55x = 378.83 × 90.23
  4. Step 4: Simplify right side
    252.55x = 34,182.33
  5. Step 5: Solve for x
    x = 34,182.33/252.55
  6. Step 6: Final answer
    x = 135.35

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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.