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Finding the Fourth Proportional to 370.18, 510.80 and 212.80

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Solution

The fourth proportional to 370.18, 510.80 and 212.80 is: 293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.18 : 510.80 = 212.80 : x
  2. Step 2: Convert to fraction form
    370.18/510.80 = 212.80/x
  3. Step 3: Cross multiply
    370.18x = 510.80 × 212.80
  4. Step 4: Simplify right side
    370.18x = 108,698.24
  5. Step 5: Solve for x
    x = 108,698.24/370.18
  6. Step 6: Final answer
    x = 293.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.