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Finding the Fourth Proportional to 322.64, 484.08 and 140.08

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Solution

The fourth proportional to 322.64, 484.08 and 140.08 is: 210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.64 : 484.08 = 140.08 : x
  2. Step 2: Convert to fraction form
    322.64/484.08 = 140.08/x
  3. Step 3: Cross multiply
    322.64x = 484.08 × 140.08
  4. Step 4: Simplify right side
    322.64x = 67,809.93
  5. Step 5: Solve for x
    x = 67,809.93/322.64
  6. Step 6: Final answer
    x = 210.17

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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.