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Finding the Fourth Proportional to 256.32, 353.63 and 158.13

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Solution

The fourth proportional to 256.32, 353.63 and 158.13 is: 218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.32 : 353.63 = 158.13 : x
  2. Step 2: Convert to fraction form
    256.32/353.63 = 158.13/x
  3. Step 3: Cross multiply
    256.32x = 353.63 × 158.13
  4. Step 4: Simplify right side
    256.32x = 55,918.72
  5. Step 5: Solve for x
    x = 55,918.72/256.32
  6. Step 6: Final answer
    x = 218.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.