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Finding the Fourth Proportional to 312.00, 468.05 and 117.07

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Solution

The fourth proportional to 312.00, 468.05 and 117.07 is: 175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.00 : 468.05 = 117.07 : x
  2. Step 2: Convert to fraction form
    312.00/468.05 = 117.07/x
  3. Step 3: Cross multiply
    312.00x = 468.05 × 117.07
  4. Step 4: Simplify right side
    312.00x = 54,791.98
  5. Step 5: Solve for x
    x = 54,791.98/312.00
  6. Step 6: Final answer
    x = 175.62

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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.