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Finding the Fourth Proportional to 645.61, 968.46 and 177.16

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Solution

The fourth proportional to 645.61, 968.46 and 177.16 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.61 : 968.46 = 177.16 : x
  2. Step 2: Convert to fraction form
    645.61/968.46 = 177.16/x
  3. Step 3: Cross multiply
    645.61x = 968.46 × 177.16
  4. Step 4: Simplify right side
    645.61x = 171,572.37
  5. Step 5: Solve for x
    x = 171,572.37/645.61
  6. Step 6: Final answer
    x = 265.75

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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.