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Finding the Fourth Proportional to 240.57, 360.45 and 192.38

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Solution

The fourth proportional to 240.57, 360.45 and 192.38 is: 288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.57 : 360.45 = 192.38 : x
  2. Step 2: Convert to fraction form
    240.57/360.45 = 192.38/x
  3. Step 3: Cross multiply
    240.57x = 360.45 × 192.38
  4. Step 4: Simplify right side
    240.57x = 69,341.57
  5. Step 5: Solve for x
    x = 69,341.57/240.57
  6. Step 6: Final answer
    x = 288.24

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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.