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Finding the Fourth Proportional to 438.36, 657.16 and 194.70

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Solution

The fourth proportional to 438.36, 657.16 and 194.70 is: 291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.36 : 657.16 = 194.70 : x
  2. Step 2: Convert to fraction form
    438.36/657.16 = 194.70/x
  3. Step 3: Cross multiply
    438.36x = 657.16 × 194.70
  4. Step 4: Simplify right side
    438.36x = 127,949.05
  5. Step 5: Solve for x
    x = 127,949.05/438.36
  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.