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Finding the Fourth Proportional to 256.16, 353.49 and 151.25

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Solution

The fourth proportional to 256.16, 353.49 and 151.25 is: 208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 353.49 = 151.25 : x
  2. Step 2: Convert to fraction form
    256.16/353.49 = 151.25/x
  3. Step 3: Cross multiply
    256.16x = 353.49 × 151.25
  4. Step 4: Simplify right side
    256.16x = 53,465.36
  5. Step 5: Solve for x
    x = 53,465.36/256.16
  6. Step 6: Final answer
    x = 208.72

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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.