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Finding the Fourth Proportional to 370.14, 510.84 and 214.86

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Solution

The fourth proportional to 370.14, 510.84 and 214.86 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.14 : 510.84 = 214.86 : x
  2. Step 2: Convert to fraction form
    370.14/510.84 = 214.86/x
  3. Step 3: Cross multiply
    370.14x = 510.84 × 214.86
  4. Step 4: Simplify right side
    370.14x = 109,759.08
  5. Step 5: Solve for x
    x = 109,759.08/370.14
  6. Step 6: Final answer
    x = 296.53

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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.