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Finding the Fourth Proportional to 280.52, 420.78 and 85.52

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Solution

The fourth proportional to 280.52, 420.78 and 85.52 is: 128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 420.78 = 85.52 : x
  2. Step 2: Convert to fraction form
    280.52/420.78 = 85.52/x
  3. Step 3: Cross multiply
    280.52x = 420.78 × 85.52
  4. Step 4: Simplify right side
    280.52x = 35,985.11
  5. Step 5: Solve for x
    x = 35,985.11/280.52
  6. Step 6: Final answer
    x = 128.28

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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.