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Finding the Fourth Proportional to 645.64, 968.63 and 183.42

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Solution

The fourth proportional to 645.64, 968.63 and 183.42 is: 275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.64 : 968.63 = 183.42 : x
  2. Step 2: Convert to fraction form
    645.64/968.63 = 183.42/x
  3. Step 3: Cross multiply
    645.64x = 968.63 × 183.42
  4. Step 4: Simplify right side
    645.64x = 177,666.11
  5. Step 5: Solve for x
    x = 177,666.11/645.64
  6. Step 6: Final answer
    x = 275.18

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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.