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Finding the Fourth Proportional to 438.56, 657.89 and 160.99

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Solution

The fourth proportional to 438.56, 657.89 and 160.99 is: 241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 657.89 = 160.99 : x
  2. Step 2: Convert to fraction form
    438.56/657.89 = 160.99/x
  3. Step 3: Cross multiply
    438.56x = 657.89 × 160.99
  4. Step 4: Simplify right side
    438.56x = 105,913.71
  5. Step 5: Solve for x
    x = 105,913.71/438.56
  6. Step 6: Final answer
    x = 241.50

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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.