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Finding the Fourth Proportional to 289.31, 434.04 and 124.69

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Solution

The fourth proportional to 289.31, 434.04 and 124.69 is: 187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.31 : 434.04 = 124.69 : x
  2. Step 2: Convert to fraction form
    289.31/434.04 = 124.69/x
  3. Step 3: Cross multiply
    289.31x = 434.04 × 124.69
  4. Step 4: Simplify right side
    289.31x = 54,119.83
  5. Step 5: Solve for x
    x = 54,119.83/289.31
  6. Step 6: Final answer
    x = 187.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.