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Finding the Fourth Proportional to 256.47, 383.62 and 174.39

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Solution

The fourth proportional to 256.47, 383.62 and 174.39 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 383.62 = 174.39 : x
  2. Step 2: Convert to fraction form
    256.47/383.62 = 174.39/x
  3. Step 3: Cross multiply
    256.47x = 383.62 × 174.39
  4. Step 4: Simplify right side
    256.47x = 66,899.49
  5. Step 5: Solve for x
    x = 66,899.49/256.47
  6. Step 6: Final answer
    x = 260.85

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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.