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Finding the Fourth Proportional to 438.56, 657.89 and 160.93

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Solution

The fourth proportional to 438.56, 657.89 and 160.93 is: 241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 657.89 = 160.93 : x
  2. Step 2: Convert to fraction form
    438.56/657.89 = 160.93/x
  3. Step 3: Cross multiply
    438.56x = 657.89 × 160.93
  4. Step 4: Simplify right side
    438.56x = 105,874.86
  5. Step 5: Solve for x
    x = 105,874.86/438.56
  6. Step 6: Final answer
    x = 241.42

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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.