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Finding the Fourth Proportional to 572.45, 858.62 and 161.57

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Solution

The fourth proportional to 572.45, 858.62 and 161.57 is: 242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.45 : 858.62 = 161.57 : x
  2. Step 2: Convert to fraction form
    572.45/858.62 = 161.57/x
  3. Step 3: Cross multiply
    572.45x = 858.62 × 161.57
  4. Step 4: Simplify right side
    572.45x = 138,729.78
  5. Step 5: Solve for x
    x = 138,729.78/572.45
  6. Step 6: Final answer
    x = 242.35

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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.