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Finding the Fourth Proportional to 278.16, 417.14 and 123.98

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Solution

The fourth proportional to 278.16, 417.14 and 123.98 is: 185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 417.14 = 123.98 : x
  2. Step 2: Convert to fraction form
    278.16/417.14 = 123.98/x
  3. Step 3: Cross multiply
    278.16x = 417.14 × 123.98
  4. Step 4: Simplify right side
    278.16x = 51,717.02
  5. Step 5: Solve for x
    x = 51,717.02/278.16
  6. Step 6: Final answer
    x = 185.93

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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.