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Finding the Fourth Proportional to 572.78, 859.23 and 161.93

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Solution

The fourth proportional to 572.78, 859.23 and 161.93 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.78 : 859.23 = 161.93 : x
  2. Step 2: Convert to fraction form
    572.78/859.23 = 161.93/x
  3. Step 3: Cross multiply
    572.78x = 859.23 × 161.93
  4. Step 4: Simplify right side
    572.78x = 139,135.11
  5. Step 5: Solve for x
    x = 139,135.11/572.78
  6. Step 6: Final answer
    x = 242.91

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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.