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Finding the Fourth Proportional to 256.31, 384.55 and 153.66

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Solution

The fourth proportional to 256.31, 384.55 and 153.66 is: 230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.31 : 384.55 = 153.66 : x
  2. Step 2: Convert to fraction form
    256.31/384.55 = 153.66/x
  3. Step 3: Cross multiply
    256.31x = 384.55 × 153.66
  4. Step 4: Simplify right side
    256.31x = 59,089.95
  5. Step 5: Solve for x
    x = 59,089.95/256.31
  6. Step 6: Final answer
    x = 230.55

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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.