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Finding the Fourth Proportional to 312.96, 469.24 and 130.32

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Solution

The fourth proportional to 312.96, 469.24 and 130.32 is: 195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 469.24 = 130.32 : x
  2. Step 2: Convert to fraction form
    312.96/469.24 = 130.32/x
  3. Step 3: Cross multiply
    312.96x = 469.24 × 130.32
  4. Step 4: Simplify right side
    312.96x = 61,151.36
  5. Step 5: Solve for x
    x = 61,151.36/312.96
  6. Step 6: Final answer
    x = 195.40

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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.