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Finding the Fourth Proportional to 310.99, 466.16 and 105.50

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Solution

The fourth proportional to 310.99, 466.16 and 105.50 is: 158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.99 : 466.16 = 105.50 : x
  2. Step 2: Convert to fraction form
    310.99/466.16 = 105.50/x
  3. Step 3: Cross multiply
    310.99x = 466.16 × 105.50
  4. Step 4: Simplify right side
    310.99x = 49,177.55
  5. Step 5: Solve for x
    x = 49,177.55/310.99
  6. Step 6: Final answer
    x = 158.13

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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.