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Finding the Fourth Proportional to 237.36, 356.58 and 141.24

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Solution

The fourth proportional to 237.36, 356.58 and 141.24 is: 212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.36 : 356.58 = 141.24 : x
  2. Step 2: Convert to fraction form
    237.36/356.58 = 141.24/x
  3. Step 3: Cross multiply
    237.36x = 356.58 × 141.24
  4. Step 4: Simplify right side
    237.36x = 50,363.36
  5. Step 5: Solve for x
    x = 50,363.36/237.36
  6. Step 6: Final answer
    x = 212.18

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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.