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Finding the Fourth Proportional to 370.42, 511.23 and 215.14

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Solution

The fourth proportional to 370.42, 511.23 and 215.14 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 511.23 = 215.14 : x
  2. Step 2: Convert to fraction form
    370.42/511.23 = 215.14/x
  3. Step 3: Cross multiply
    370.42x = 511.23 × 215.14
  4. Step 4: Simplify right side
    370.42x = 109,986.02
  5. Step 5: Solve for x
    x = 109,986.02/370.42
  6. Step 6: Final answer
    x = 296.92

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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.