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Finding the Fourth Proportional to 569.16, 853.62 and 158.16

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Solution

The fourth proportional to 569.16, 853.62 and 158.16 is: 237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 853.62 = 158.16 : x
  2. Step 2: Convert to fraction form
    569.16/853.62 = 158.16/x
  3. Step 3: Cross multiply
    569.16x = 853.62 × 158.16
  4. Step 4: Simplify right side
    569.16x = 135,008.54
  5. Step 5: Solve for x
    x = 135,008.54/569.16
  6. Step 6: Final answer
    x = 237.21

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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.