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Finding the Fourth Proportional to 278.46, 417.72 and 116.22

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Solution

The fourth proportional to 278.46, 417.72 and 116.22 is: 174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 417.72 = 116.22 : x
  2. Step 2: Convert to fraction form
    278.46/417.72 = 116.22/x
  3. Step 3: Cross multiply
    278.46x = 417.72 × 116.22
  4. Step 4: Simplify right side
    278.46x = 48,547.42
  5. Step 5: Solve for x
    x = 48,547.42/278.46
  6. Step 6: Final answer
    x = 174.34

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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.