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Finding the Fourth Proportional to 438.06, 657.12 and 194.58

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Solution

The fourth proportional to 438.06, 657.12 and 194.58 is: 291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 657.12 = 194.58 : x
  2. Step 2: Convert to fraction form
    438.06/657.12 = 194.58/x
  3. Step 3: Cross multiply
    438.06x = 657.12 × 194.58
  4. Step 4: Simplify right side
    438.06x = 127,862.41
  5. Step 5: Solve for x
    x = 127,862.41/438.06
  6. Step 6: Final answer
    x = 291.88

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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.