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Finding the Fourth Proportional to 240.33, 362.13 and 214.14

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Solution

The fourth proportional to 240.33, 362.13 and 214.14 is: 322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.33 : 362.13 = 214.14 : x
  2. Step 2: Convert to fraction form
    240.33/362.13 = 214.14/x
  3. Step 3: Cross multiply
    240.33x = 362.13 × 214.14
  4. Step 4: Simplify right side
    240.33x = 77,546.52
  5. Step 5: Solve for x
    x = 77,546.52/240.33
  6. Step 6: Final answer
    x = 322.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.