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Finding the Fourth Proportional to 256.35, 383.88 and 165.06

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Solution

The fourth proportional to 256.35, 383.88 and 165.06 is: 247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.35 : 383.88 = 165.06 : x
  2. Step 2: Convert to fraction form
    256.35/383.88 = 165.06/x
  3. Step 3: Cross multiply
    256.35x = 383.88 × 165.06
  4. Step 4: Simplify right side
    256.35x = 63,363.23
  5. Step 5: Solve for x
    x = 63,363.23/256.35
  6. Step 6: Final answer
    x = 247.17

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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.