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Finding the Fourth Proportional to 370.12, 510.72 and 212.77

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Solution

The fourth proportional to 370.12, 510.72 and 212.77 is: 293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.12 : 510.72 = 212.77 : x
  2. Step 2: Convert to fraction form
    370.12/510.72 = 212.77/x
  3. Step 3: Cross multiply
    370.12x = 510.72 × 212.77
  4. Step 4: Simplify right side
    370.12x = 108,665.89
  5. Step 5: Solve for x
    x = 108,665.89/370.12
  6. Step 6: Final answer
    x = 293.60

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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.