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Finding the Fourth Proportional to 438.14, 656.85 and 194.90

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Solution

The fourth proportional to 438.14, 656.85 and 194.90 is: 292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 656.85 = 194.90 : x
  2. Step 2: Convert to fraction form
    438.14/656.85 = 194.90/x
  3. Step 3: Cross multiply
    438.14x = 656.85 × 194.90
  4. Step 4: Simplify right side
    438.14x = 128,020.07
  5. Step 5: Solve for x
    x = 128,020.07/438.14
  6. Step 6: Final answer
    x = 292.19

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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.