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Finding the Fourth Proportional to 370.42, 510.90 and 223

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Solution

The fourth proportional to 370.42, 510.90 and 223 is: 307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 510.90 = 223 : x
  2. Step 2: Convert to fraction form
    370.42/510.90 = 223/x
  3. Step 3: Cross multiply
    370.42x = 510.90 × 223
  4. Step 4: Simplify right side
    370.42x = 113,930.70
  5. Step 5: Solve for x
    x = 113,930.70/370.42
  6. Step 6: Final answer
    x = 307.57

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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.