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Finding the Fourth Proportional to 438.12, 657.28 and 194.68

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Solution

The fourth proportional to 438.12, 657.28 and 194.68 is: 292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 657.28 = 194.68 : x
  2. Step 2: Convert to fraction form
    438.12/657.28 = 194.68/x
  3. Step 3: Cross multiply
    438.12x = 657.28 × 194.68
  4. Step 4: Simplify right side
    438.12x = 127,959.27
  5. Step 5: Solve for x
    x = 127,959.27/438.12
  6. Step 6: Final answer
    x = 292.06

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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.