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Finding the Fourth Proportional to 289.74, 434.76 and 152.90

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Solution

The fourth proportional to 289.74, 434.76 and 152.90 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.74 : 434.76 = 152.90 : x
  2. Step 2: Convert to fraction form
    289.74/434.76 = 152.90/x
  3. Step 3: Cross multiply
    289.74x = 434.76 × 152.90
  4. Step 4: Simplify right side
    289.74x = 66,474.80
  5. Step 5: Solve for x
    x = 66,474.80/289.74
  6. Step 6: Final answer
    x = 229.43

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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.