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Finding the Fourth Proportional to 438.83, 657.83 and 165.10

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Solution

The fourth proportional to 438.83, 657.83 and 165.10 is: 247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.83 : 657.83 = 165.10 : x
  2. Step 2: Convert to fraction form
    438.83/657.83 = 165.10/x
  3. Step 3: Cross multiply
    438.83x = 657.83 × 165.10
  4. Step 4: Simplify right side
    438.83x = 108,605.68
  5. Step 5: Solve for x
    x = 108,605.68/438.83
  6. Step 6: Final answer
    x = 247.49

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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.