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Finding the Fourth Proportional to 289.32, 434.10 and 106.67

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Solution

The fourth proportional to 289.32, 434.10 and 106.67 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 434.10 = 106.67 : x
  2. Step 2: Convert to fraction form
    289.32/434.10 = 106.67/x
  3. Step 3: Cross multiply
    289.32x = 434.10 × 106.67
  4. Step 4: Simplify right side
    289.32x = 46,306.12
  5. Step 5: Solve for x
    x = 46,306.12/289.32
  6. Step 6: Final answer
    x = 160.05

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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.