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Finding the Fourth Proportional to 572.87, 859.29 and 140.02

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Solution

The fourth proportional to 572.87, 859.29 and 140.02 is: 210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.87 : 859.29 = 140.02 : x
  2. Step 2: Convert to fraction form
    572.87/859.29 = 140.02/x
  3. Step 3: Cross multiply
    572.87x = 859.29 × 140.02
  4. Step 4: Simplify right side
    572.87x = 120,315.64
  5. Step 5: Solve for x
    x = 120,315.64/572.87
  6. Step 6: Final answer
    x = 210.02

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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.