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Finding the Fourth Proportional to 583.98, 875.98 and 151.14

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Solution

The fourth proportional to 583.98, 875.98 and 151.14 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 875.98 = 151.14 : x
  2. Step 2: Convert to fraction form
    583.98/875.98 = 151.14/x
  3. Step 3: Cross multiply
    583.98x = 875.98 × 151.14
  4. Step 4: Simplify right side
    583.98x = 132,395.62
  5. Step 5: Solve for x
    x = 132,395.62/583.98
  6. Step 6: Final answer
    x = 226.71

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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.