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Finding the Fourth Proportional to 280.04, 420.11 and 117.84

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Solution

The fourth proportional to 280.04, 420.11 and 117.84 is: 176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.04 : 420.11 = 117.84 : x
  2. Step 2: Convert to fraction form
    280.04/420.11 = 117.84/x
  3. Step 3: Cross multiply
    280.04x = 420.11 × 117.84
  4. Step 4: Simplify right side
    280.04x = 49,505.17
  5. Step 5: Solve for x
    x = 49,505.17/280.04
  6. Step 6: Final answer
    x = 176.78

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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.