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Finding the Fourth Proportional to 220.50, 304.20 and 202.14

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Solution

The fourth proportional to 220.50, 304.20 and 202.14 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 304.20 = 202.14 : x
  2. Step 2: Convert to fraction form
    220.50/304.20 = 202.14/x
  3. Step 3: Cross multiply
    220.50x = 304.20 × 202.14
  4. Step 4: Simplify right side
    220.50x = 61,490.99
  5. Step 5: Solve for x
    x = 61,490.99/220.50
  6. Step 6: Final answer
    x = 278.87

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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.