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Finding the Fourth Proportional to 256.30, 384.16 and 102.18

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Solution

The fourth proportional to 256.30, 384.16 and 102.18 is: 153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.30 : 384.16 = 102.18 : x
  2. Step 2: Convert to fraction form
    256.30/384.16 = 102.18/x
  3. Step 3: Cross multiply
    256.30x = 384.16 × 102.18
  4. Step 4: Simplify right side
    256.30x = 39,253.47
  5. Step 5: Solve for x
    x = 39,253.47/256.30
  6. Step 6: Final answer
    x = 153.15

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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.