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Finding the Fourth Proportional to 438.84, 657.82 and 164.76

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Solution

The fourth proportional to 438.84, 657.82 and 164.76 is: 246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.84 : 657.82 = 164.76 : x
  2. Step 2: Convert to fraction form
    438.84/657.82 = 164.76/x
  3. Step 3: Cross multiply
    438.84x = 657.82 × 164.76
  4. Step 4: Simplify right side
    438.84x = 108,382.42
  5. Step 5: Solve for x
    x = 108,382.42/438.84
  6. Step 6: Final answer
    x = 246.97

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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.