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Finding the Fourth Proportional to 569.54, 854.21 and 158.72

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Solution

The fourth proportional to 569.54, 854.21 and 158.72 is: 238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.54 : 854.21 = 158.72 : x
  2. Step 2: Convert to fraction form
    569.54/854.21 = 158.72/x
  3. Step 3: Cross multiply
    569.54x = 854.21 × 158.72
  4. Step 4: Simplify right side
    569.54x = 135,575.94
  5. Step 5: Solve for x
    x = 135,575.94/569.54
  6. Step 6: Final answer
    x = 238.04

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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.