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Finding the Fourth Proportional to 278.16, 416.84 and 156.24

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Solution

The fourth proportional to 278.16, 416.84 and 156.24 is: 234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 416.84 = 156.24 : x
  2. Step 2: Convert to fraction form
    278.16/416.84 = 156.24/x
  3. Step 3: Cross multiply
    278.16x = 416.84 × 156.24
  4. Step 4: Simplify right side
    278.16x = 65,127.08
  5. Step 5: Solve for x
    x = 65,127.08/278.16
  6. Step 6: Final answer
    x = 234.14

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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.