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Finding the Fourth Proportional to 255.60, 383.56 and 111.32

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Solution

The fourth proportional to 255.60, 383.56 and 111.32 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 383.56 = 111.32 : x
  2. Step 2: Convert to fraction form
    255.60/383.56 = 111.32/x
  3. Step 3: Cross multiply
    255.60x = 383.56 × 111.32
  4. Step 4: Simplify right side
    255.60x = 42,697.90
  5. Step 5: Solve for x
    x = 42,697.90/255.60
  6. Step 6: Final answer
    x = 167.05

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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.