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Finding the Fourth Proportional to 438, 657.07 and 164.13

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Solution

The fourth proportional to 438, 657.07 and 164.13 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 657.07 = 164.13 : x
  2. Step 2: Convert to fraction form
    438/657.07 = 164.13/x
  3. Step 3: Cross multiply
    438x = 657.07 × 164.13
  4. Step 4: Simplify right side
    438x = 107,844.49
  5. Step 5: Solve for x
    x = 107,844.49/438
  6. Step 6: Final answer
    x = 246.22

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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.