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Finding the Fourth Proportional to 645.72, 968.56 and 158.77

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Solution

The fourth proportional to 645.72, 968.56 and 158.77 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.72 : 968.56 = 158.77 : x
  2. Step 2: Convert to fraction form
    645.72/968.56 = 158.77/x
  3. Step 3: Cross multiply
    645.72x = 968.56 × 158.77
  4. Step 4: Simplify right side
    645.72x = 153,775.32
  5. Step 5: Solve for x
    x = 153,775.32/645.72
  6. Step 6: Final answer
    x = 238.15

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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.