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Finding the Fourth Proportional to 312.53, 468.81 and 117.54

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Solution

The fourth proportional to 312.53, 468.81 and 117.54 is: 176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.53 : 468.81 = 117.54 : x
  2. Step 2: Convert to fraction form
    312.53/468.81 = 117.54/x
  3. Step 3: Cross multiply
    312.53x = 468.81 × 117.54
  4. Step 4: Simplify right side
    312.53x = 55,103.93
  5. Step 5: Solve for x
    x = 55,103.93/312.53
  6. Step 6: Final answer
    x = 176.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.