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Finding the Fourth Proportional to 256.02, 383.52 and 191.13

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Solution

The fourth proportional to 256.02, 383.52 and 191.13 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 383.52 = 191.13 : x
  2. Step 2: Convert to fraction form
    256.02/383.52 = 191.13/x
  3. Step 3: Cross multiply
    256.02x = 383.52 × 191.13
  4. Step 4: Simplify right side
    256.02x = 73,302.18
  5. Step 5: Solve for x
    x = 73,302.18/256.02
  6. Step 6: Final answer
    x = 286.31

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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.