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Finding the Fourth Proportional to 278.47, 417.67 and 153.43

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Solution

The fourth proportional to 278.47, 417.67 and 153.43 is: 230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.47 : 417.67 = 153.43 : x
  2. Step 2: Convert to fraction form
    278.47/417.67 = 153.43/x
  3. Step 3: Cross multiply
    278.47x = 417.67 × 153.43
  4. Step 4: Simplify right side
    278.47x = 64,083.11
  5. Step 5: Solve for x
    x = 64,083.11/278.47
  6. Step 6: Final answer
    x = 230.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.