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Finding the Fourth Proportional to 256.39, 384.65 and 102.32

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Solution

The fourth proportional to 256.39, 384.65 and 102.32 is: 153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.39 : 384.65 = 102.32 : x
  2. Step 2: Convert to fraction form
    256.39/384.65 = 102.32/x
  3. Step 3: Cross multiply
    256.39x = 384.65 × 102.32
  4. Step 4: Simplify right side
    256.39x = 39,358.29
  5. Step 5: Solve for x
    x = 39,358.29/256.39
  6. Step 6: Final answer
    x = 153.51

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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.