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Finding the Fourth Proportional to 289.52, 434.08 and 143.10

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Solution

The fourth proportional to 289.52, 434.08 and 143.10 is: 214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.52 : 434.08 = 143.10 : x
  2. Step 2: Convert to fraction form
    289.52/434.08 = 143.10/x
  3. Step 3: Cross multiply
    289.52x = 434.08 × 143.10
  4. Step 4: Simplify right side
    289.52x = 62,115.60
  5. Step 5: Solve for x
    x = 62,115.60/289.52
  6. Step 6: Final answer
    x = 214.54

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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.