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Finding the Fourth Proportional to 278.68, 417.28 and 210.24

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Solution

The fourth proportional to 278.68, 417.28 and 210.24 is: 314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.68 : 417.28 = 210.24 : x
  2. Step 2: Convert to fraction form
    278.68/417.28 = 210.24/x
  3. Step 3: Cross multiply
    278.68x = 417.28 × 210.24
  4. Step 4: Simplify right side
    278.68x = 87,728.95
  5. Step 5: Solve for x
    x = 87,728.95/278.68
  6. Step 6: Final answer
    x = 314.80

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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.