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Finding the Fourth Proportional to 616.95, 925.47 and 184.14

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Solution

The fourth proportional to 616.95, 925.47 and 184.14 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.95 : 925.47 = 184.14 : x
  2. Step 2: Convert to fraction form
    616.95/925.47 = 184.14/x
  3. Step 3: Cross multiply
    616.95x = 925.47 × 184.14
  4. Step 4: Simplify right side
    616.95x = 170,416.05
  5. Step 5: Solve for x
    x = 170,416.05/616.95
  6. Step 6: Final answer
    x = 276.22

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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.