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Finding the Fourth Proportional to 385.95, 532.50 and 220.14

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Solution

The fourth proportional to 385.95, 532.50 and 220.14 is: 303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.95 : 532.50 = 220.14 : x
  2. Step 2: Convert to fraction form
    385.95/532.50 = 220.14/x
  3. Step 3: Cross multiply
    385.95x = 532.50 × 220.14
  4. Step 4: Simplify right side
    385.95x = 117,224.55
  5. Step 5: Solve for x
    x = 117,224.55/385.95
  6. Step 6: Final answer
    x = 303.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.