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Finding the Fourth Proportional to 278.04, 416.16 and 216.60

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Solution

The fourth proportional to 278.04, 416.16 and 216.60 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 416.16 = 216.60 : x
  2. Step 2: Convert to fraction form
    278.04/416.16 = 216.60/x
  3. Step 3: Cross multiply
    278.04x = 416.16 × 216.60
  4. Step 4: Simplify right side
    278.04x = 90,140.26
  5. Step 5: Solve for x
    x = 90,140.26/278.04
  6. Step 6: Final answer
    x = 324.20

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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.