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Finding the Fourth Proportional to 370.59, 511.19 and 223.17

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Solution

The fourth proportional to 370.59, 511.19 and 223.17 is: 307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.59 : 511.19 = 223.17 : x
  2. Step 2: Convert to fraction form
    370.59/511.19 = 223.17/x
  3. Step 3: Cross multiply
    370.59x = 511.19 × 223.17
  4. Step 4: Simplify right side
    370.59x = 114,081.16
  5. Step 5: Solve for x
    x = 114,081.16/370.59
  6. Step 6: Final answer
    x = 307.84

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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.