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Finding the Fourth Proportional to 610.07, 915.14 and 199.12

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Solution

The fourth proportional to 610.07, 915.14 and 199.12 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.07 : 915.14 = 199.12 : x
  2. Step 2: Convert to fraction form
    610.07/915.14 = 199.12/x
  3. Step 3: Cross multiply
    610.07x = 915.14 × 199.12
  4. Step 4: Simplify right side
    610.07x = 182,222.68
  5. Step 5: Solve for x
    x = 182,222.68/610.07
  6. Step 6: Final answer
    x = 298.69

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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.