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Finding the Fourth Proportional to 572.21, 858.36 and 155.74

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Solution

The fourth proportional to 572.21, 858.36 and 155.74 is: 233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.21 : 858.36 = 155.74 : x
  2. Step 2: Convert to fraction form
    572.21/858.36 = 155.74/x
  3. Step 3: Cross multiply
    572.21x = 858.36 × 155.74
  4. Step 4: Simplify right side
    572.21x = 133,683.45
  5. Step 5: Solve for x
    x = 133,683.45/572.21
  6. Step 6: Final answer
    x = 233.63

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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.