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Finding the Fourth Proportional to 256.12, 383.80 and 140.32

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Solution

The fourth proportional to 256.12, 383.80 and 140.32 is: 210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.12 : 383.80 = 140.32 : x
  2. Step 2: Convert to fraction form
    256.12/383.80 = 140.32/x
  3. Step 3: Cross multiply
    256.12x = 383.80 × 140.32
  4. Step 4: Simplify right side
    256.12x = 53,854.82
  5. Step 5: Solve for x
    x = 53,854.82/256.12
  6. Step 6: Final answer
    x = 210.27

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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.