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Finding the Fourth Proportional to 256.74, 385.21 and 135.08

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Solution

The fourth proportional to 256.74, 385.21 and 135.08 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 385.21 = 135.08 : x
  2. Step 2: Convert to fraction form
    256.74/385.21 = 135.08/x
  3. Step 3: Cross multiply
    256.74x = 385.21 × 135.08
  4. Step 4: Simplify right side
    256.74x = 52,032.24
  5. Step 5: Solve for x
    x = 52,032.24/256.74
  6. Step 6: Final answer
    x = 202.67

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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.