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Finding the Fourth Proportional to 255.75, 384.23 and 147.62

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Solution

The fourth proportional to 255.75, 384.23 and 147.62 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.75 : 384.23 = 147.62 : x
  2. Step 2: Convert to fraction form
    255.75/384.23 = 147.62/x
  3. Step 3: Cross multiply
    255.75x = 384.23 × 147.62
  4. Step 4: Simplify right side
    255.75x = 56,718.11
  5. Step 5: Solve for x
    x = 56,718.11/255.75
  6. Step 6: Final answer
    x = 221.77

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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.