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Finding the Fourth Proportional to 569.39, 854.12 and 158.54

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Solution

The fourth proportional to 569.39, 854.12 and 158.54 is: 237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 854.12 = 158.54 : x
  2. Step 2: Convert to fraction form
    569.39/854.12 = 158.54/x
  3. Step 3: Cross multiply
    569.39x = 854.12 × 158.54
  4. Step 4: Simplify right side
    569.39x = 135,408.31
  5. Step 5: Solve for x
    x = 135,408.31/569.39
  6. Step 6: Final answer
    x = 237.82

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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.