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Finding the Fourth Proportional to 256.53, 386.65 and 220.89

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Solution

The fourth proportional to 256.53, 386.65 and 220.89 is: 332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.53 : 386.65 = 220.89 : x
  2. Step 2: Convert to fraction form
    256.53/386.65 = 220.89/x
  3. Step 3: Cross multiply
    256.53x = 386.65 × 220.89
  4. Step 4: Simplify right side
    256.53x = 85,406.57
  5. Step 5: Solve for x
    x = 85,406.57/256.53
  6. Step 6: Final answer
    x = 332.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.