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Finding the Fourth Proportional to 256.64, 384.77 and 169.86

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Solution

The fourth proportional to 256.64, 384.77 and 169.86 is: 254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 384.77 = 169.86 : x
  2. Step 2: Convert to fraction form
    256.64/384.77 = 169.86/x
  3. Step 3: Cross multiply
    256.64x = 384.77 × 169.86
  4. Step 4: Simplify right side
    256.64x = 65,356.18
  5. Step 5: Solve for x
    x = 65,356.18/256.64
  6. Step 6: Final answer
    x = 254.67

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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.