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Finding the Fourth Proportional to 270.57, 373.40 and 212.25

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Solution

The fourth proportional to 270.57, 373.40 and 212.25 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.57 : 373.40 = 212.25 : x
  2. Step 2: Convert to fraction form
    270.57/373.40 = 212.25/x
  3. Step 3: Cross multiply
    270.57x = 373.40 × 212.25
  4. Step 4: Simplify right side
    270.57x = 79,253.09
  5. Step 5: Solve for x
    x = 79,253.09/270.57
  6. Step 6: Final answer
    x = 292.91

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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.