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Finding the Fourth Proportional to 407.66, 610.99 and 187.98

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Solution

The fourth proportional to 407.66, 610.99 and 187.98 is: 281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.66 : 610.99 = 187.98 : x
  2. Step 2: Convert to fraction form
    407.66/610.99 = 187.98/x
  3. Step 3: Cross multiply
    407.66x = 610.99 × 187.98
  4. Step 4: Simplify right side
    407.66x = 114,856.49
  5. Step 5: Solve for x
    x = 114,856.49/407.66
  6. Step 6: Final answer
    x = 281.75

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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.