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Finding the Fourth Proportional to 312.89, 468.99 and 130.03

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Solution

The fourth proportional to 312.89, 468.99 and 130.03 is: 194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.89 : 468.99 = 130.03 : x
  2. Step 2: Convert to fraction form
    312.89/468.99 = 130.03/x
  3. Step 3: Cross multiply
    312.89x = 468.99 × 130.03
  4. Step 4: Simplify right side
    312.89x = 60,980.42
  5. Step 5: Solve for x
    x = 60,980.42/312.89
  6. Step 6: Final answer
    x = 194.89

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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.