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Finding the Fourth Proportional to 260.92, 390.74 and 152.38

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Solution

The fourth proportional to 260.92, 390.74 and 152.38 is: 228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.92 : 390.74 = 152.38 : x
  2. Step 2: Convert to fraction form
    260.92/390.74 = 152.38/x
  3. Step 3: Cross multiply
    260.92x = 390.74 × 152.38
  4. Step 4: Simplify right side
    260.92x = 59,540.96
  5. Step 5: Solve for x
    x = 59,540.96/260.92
  6. Step 6: Final answer
    x = 228.20

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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.