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Finding the Fourth Proportional to 270.40, 373.08 and 212.08

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Solution

The fourth proportional to 270.40, 373.08 and 212.08 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.40 : 373.08 = 212.08 : x
  2. Step 2: Convert to fraction form
    270.40/373.08 = 212.08/x
  3. Step 3: Cross multiply
    270.40x = 373.08 × 212.08
  4. Step 4: Simplify right side
    270.40x = 79,122.81
  5. Step 5: Solve for x
    x = 79,122.81/270.40
  6. Step 6: Final answer
    x = 292.61

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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.