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Finding the Fourth Proportional to 484.16, 726.25 and 137.50

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Solution

The fourth proportional to 484.16, 726.25 and 137.50 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.16 : 726.25 = 137.50 : x
  2. Step 2: Convert to fraction form
    484.16/726.25 = 137.50/x
  3. Step 3: Cross multiply
    484.16x = 726.25 × 137.50
  4. Step 4: Simplify right side
    484.16x = 99,858.22
  5. Step 5: Solve for x
    x = 99,858.22/484.16
  6. Step 6: Final answer
    x = 206.25

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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.