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Finding the Fourth Proportional to 370.19, 510.84 and 212.78

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Solution

The fourth proportional to 370.19, 510.84 and 212.78 is: 293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.19 : 510.84 = 212.78 : x
  2. Step 2: Convert to fraction form
    370.19/510.84 = 212.78/x
  3. Step 3: Cross multiply
    370.19x = 510.84 × 212.78
  4. Step 4: Simplify right side
    370.19x = 108,693.98
  5. Step 5: Solve for x
    x = 108,693.98/370.19
  6. Step 6: Final answer
    x = 293.62

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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.