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Finding the Fourth Proportional to 645.98, 969.09 and 183.76

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Solution

The fourth proportional to 645.98, 969.09 and 183.76 is: 275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.98 : 969.09 = 183.76 : x
  2. Step 2: Convert to fraction form
    645.98/969.09 = 183.76/x
  3. Step 3: Cross multiply
    645.98x = 969.09 × 183.76
  4. Step 4: Simplify right side
    645.98x = 178,079.81
  5. Step 5: Solve for x
    x = 178,079.81/645.98
  6. Step 6: Final answer
    x = 275.68

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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.