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Finding the Fourth Proportional to 278.29, 417.48 and 156.70

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Solution

The fourth proportional to 278.29, 417.48 and 156.70 is: 235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.29 : 417.48 = 156.70 : x
  2. Step 2: Convert to fraction form
    278.29/417.48 = 156.70/x
  3. Step 3: Cross multiply
    278.29x = 417.48 × 156.70
  4. Step 4: Simplify right side
    278.29x = 65,419.12
  5. Step 5: Solve for x
    x = 65,419.12/278.29
  6. Step 6: Final answer
    x = 235.08

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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.