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Finding the Fourth Proportional to 256.02, 383.74 and 101.92

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Solution

The fourth proportional to 256.02, 383.74 and 101.92 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 383.74 = 101.92 : x
  2. Step 2: Convert to fraction form
    256.02/383.74 = 101.92/x
  3. Step 3: Cross multiply
    256.02x = 383.74 × 101.92
  4. Step 4: Simplify right side
    256.02x = 39,110.78
  5. Step 5: Solve for x
    x = 39,110.78/256.02
  6. Step 6: Final answer
    x = 152.76

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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.