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Finding the Fourth Proportional to 312.38, 468.57 and 117.40

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Solution

The fourth proportional to 312.38, 468.57 and 117.40 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 468.57 = 117.40 : x
  2. Step 2: Convert to fraction form
    312.38/468.57 = 117.40/x
  3. Step 3: Cross multiply
    312.38x = 468.57 × 117.40
  4. Step 4: Simplify right side
    312.38x = 55,010.12
  5. Step 5: Solve for x
    x = 55,010.12/312.38
  6. Step 6: Final answer
    x = 176.10

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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.