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Finding the Fourth Proportional to 572.53, 858.83 and 161.66

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Solution

The fourth proportional to 572.53, 858.83 and 161.66 is: 242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.53 : 858.83 = 161.66 : x
  2. Step 2: Convert to fraction form
    572.53/858.83 = 161.66/x
  3. Step 3: Cross multiply
    572.53x = 858.83 × 161.66
  4. Step 4: Simplify right side
    572.53x = 138,838.46
  5. Step 5: Solve for x
    x = 138,838.46/572.53
  6. Step 6: Final answer
    x = 242.50

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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.