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Finding the Fourth Proportional to 280.52, 420.86 and 97.93

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Solution

The fourth proportional to 280.52, 420.86 and 97.93 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 420.86 = 97.93 : x
  2. Step 2: Convert to fraction form
    280.52/420.86 = 97.93/x
  3. Step 3: Cross multiply
    280.52x = 420.86 × 97.93
  4. Step 4: Simplify right side
    280.52x = 41,214.82
  5. Step 5: Solve for x
    x = 41,214.82/280.52
  6. Step 6: Final answer
    x = 146.92

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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.