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Finding the Fourth Proportional to 256.23, 383.52 and 134.32

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Solution

The fourth proportional to 256.23, 383.52 and 134.32 is: 201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 383.52 = 134.32 : x
  2. Step 2: Convert to fraction form
    256.23/383.52 = 134.32/x
  3. Step 3: Cross multiply
    256.23x = 383.52 × 134.32
  4. Step 4: Simplify right side
    256.23x = 51,514.41
  5. Step 5: Solve for x
    x = 51,514.41/256.23
  6. Step 6: Final answer
    x = 201.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.