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Finding the Fourth Proportional to 256.58, 385.50 and 165.32

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Solution

The fourth proportional to 256.58, 385.50 and 165.32 is: 248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.58 : 385.50 = 165.32 : x
  2. Step 2: Convert to fraction form
    256.58/385.50 = 165.32/x
  3. Step 3: Cross multiply
    256.58x = 385.50 × 165.32
  4. Step 4: Simplify right side
    256.58x = 63,730.86
  5. Step 5: Solve for x
    x = 63,730.86/256.58
  6. Step 6: Final answer
    x = 248.39

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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.