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Finding the Fourth Proportional to 256.40, 384.70 and 102.40

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Solution

The fourth proportional to 256.40, 384.70 and 102.40 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.40 : 384.70 = 102.40 : x
  2. Step 2: Convert to fraction form
    256.40/384.70 = 102.40/x
  3. Step 3: Cross multiply
    256.40x = 384.70 × 102.40
  4. Step 4: Simplify right side
    256.40x = 39,393.28
  5. Step 5: Solve for x
    x = 39,393.28/256.40
  6. Step 6: Final answer
    x = 153.64

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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.