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Finding the Fourth Proportional to 289.57, 434.35 and 97.19

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Solution

The fourth proportional to 289.57, 434.35 and 97.19 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.57 : 434.35 = 97.19 : x
  2. Step 2: Convert to fraction form
    289.57/434.35 = 97.19/x
  3. Step 3: Cross multiply
    289.57x = 434.35 × 97.19
  4. Step 4: Simplify right side
    289.57x = 42,214.48
  5. Step 5: Solve for x
    x = 42,214.48/289.57
  6. Step 6: Final answer
    x = 145.79

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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.