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Finding the Fourth Proportional to 312.57, 468.65 and 130.05

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Solution

The fourth proportional to 312.57, 468.65 and 130.05 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 468.65 = 130.05 : x
  2. Step 2: Convert to fraction form
    312.57/468.65 = 130.05/x
  3. Step 3: Cross multiply
    312.57x = 468.65 × 130.05
  4. Step 4: Simplify right side
    312.57x = 60,948.26
  5. Step 5: Solve for x
    x = 60,948.26/312.57
  6. Step 6: Final answer
    x = 194.99

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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.