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Finding the Fourth Proportional to 256.16, 384.07 and 109.75

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Solution

The fourth proportional to 256.16, 384.07 and 109.75 is: 164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 384.07 = 109.75 : x
  2. Step 2: Convert to fraction form
    256.16/384.07 = 109.75/x
  3. Step 3: Cross multiply
    256.16x = 384.07 × 109.75
  4. Step 4: Simplify right side
    256.16x = 42,151.13
  5. Step 5: Solve for x
    x = 42,151.13/256.16
  6. Step 6: Final answer
    x = 164.55

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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.