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Finding the Fourth Proportional to 312.61, 468.91 and 130.13

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Solution

The fourth proportional to 312.61, 468.91 and 130.13 is: 195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.61 : 468.91 = 130.13 : x
  2. Step 2: Convert to fraction form
    312.61/468.91 = 130.13/x
  3. Step 3: Cross multiply
    312.61x = 468.91 × 130.13
  4. Step 4: Simplify right side
    312.61x = 61,019.26
  5. Step 5: Solve for x
    x = 61,019.26/312.61
  6. Step 6: Final answer
    x = 195.19

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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.