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Finding the Fourth Proportional to 484.70, 726.98 and 160.07

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Solution

The fourth proportional to 484.70, 726.98 and 160.07 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.70 : 726.98 = 160.07 : x
  2. Step 2: Convert to fraction form
    484.70/726.98 = 160.07/x
  3. Step 3: Cross multiply
    484.70x = 726.98 × 160.07
  4. Step 4: Simplify right side
    484.70x = 116,363.25
  5. Step 5: Solve for x
    x = 116,363.25/484.70
  6. Step 6: Final answer
    x = 240.08

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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.