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Finding the Fourth Proportional to 462.24, 692.55 and 187.72

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Solution

The fourth proportional to 462.24, 692.55 and 187.72 is: 281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 692.55 = 187.72 : x
  2. Step 2: Convert to fraction form
    462.24/692.55 = 187.72/x
  3. Step 3: Cross multiply
    462.24x = 692.55 × 187.72
  4. Step 4: Simplify right side
    462.24x = 130,003.75
  5. Step 5: Solve for x
    x = 130,003.75/462.24
  6. Step 6: Final answer
    x = 281.25

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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.