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Finding the Fourth Proportional to 237.24, 328.14 and 212.67

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Solution

The fourth proportional to 237.24, 328.14 and 212.67 is: 294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.24 : 328.14 = 212.67 : x
  2. Step 2: Convert to fraction form
    237.24/328.14 = 212.67/x
  3. Step 3: Cross multiply
    237.24x = 328.14 × 212.67
  4. Step 4: Simplify right side
    237.24x = 69,785.53
  5. Step 5: Solve for x
    x = 69,785.53/237.24
  6. Step 6: Final answer
    x = 294.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.