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Finding the Fourth Proportional to 278.42, 417.54 and 116.06

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Solution

The fourth proportional to 278.42, 417.54 and 116.06 is: 174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.42 : 417.54 = 116.06 : x
  2. Step 2: Convert to fraction form
    278.42/417.54 = 116.06/x
  3. Step 3: Cross multiply
    278.42x = 417.54 × 116.06
  4. Step 4: Simplify right side
    278.42x = 48,459.69
  5. Step 5: Solve for x
    x = 48,459.69/278.42
  6. Step 6: Final answer
    x = 174.05

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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.