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Finding the Fourth Proportional to 278.34, 416.83 and 162.53

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Solution

The fourth proportional to 278.34, 416.83 and 162.53 is: 243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 416.83 = 162.53 : x
  2. Step 2: Convert to fraction form
    278.34/416.83 = 162.53/x
  3. Step 3: Cross multiply
    278.34x = 416.83 × 162.53
  4. Step 4: Simplify right side
    278.34x = 67,747.38
  5. Step 5: Solve for x
    x = 67,747.38/278.34
  6. Step 6: Final answer
    x = 243.40

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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.