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Finding the Fourth Proportional to 256.04, 353.10 and 197.72

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Solution

The fourth proportional to 256.04, 353.10 and 197.72 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 353.10 = 197.72 : x
  2. Step 2: Convert to fraction form
    256.04/353.10 = 197.72/x
  3. Step 3: Cross multiply
    256.04x = 353.10 × 197.72
  4. Step 4: Simplify right side
    256.04x = 69,814.93
  5. Step 5: Solve for x
    x = 69,814.93/256.04
  6. Step 6: Final answer
    x = 272.67

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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.