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Finding the Fourth Proportional to 270.84, 373.14 and 212.52

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Solution

The fourth proportional to 270.84, 373.14 and 212.52 is: 292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 373.14 = 212.52 : x
  2. Step 2: Convert to fraction form
    270.84/373.14 = 212.52/x
  3. Step 3: Cross multiply
    270.84x = 373.14 × 212.52
  4. Step 4: Simplify right side
    270.84x = 79,299.71
  5. Step 5: Solve for x
    x = 79,299.71/270.84
  6. Step 6: Final answer
    x = 292.79

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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.