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Finding the Fourth Proportional to 255.76, 383.52 and 101.68

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Solution

The fourth proportional to 255.76, 383.52 and 101.68 is: 152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.76 : 383.52 = 101.68 : x
  2. Step 2: Convert to fraction form
    255.76/383.52 = 101.68/x
  3. Step 3: Cross multiply
    255.76x = 383.52 × 101.68
  4. Step 4: Simplify right side
    255.76x = 38,996.31
  5. Step 5: Solve for x
    x = 38,996.31/255.76
  6. Step 6: Final answer
    x = 152.47

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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.