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Finding the Fourth Proportional to 310.52, 465.81 and 105.05

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Solution

The fourth proportional to 310.52, 465.81 and 105.05 is: 157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.52 : 465.81 = 105.05 : x
  2. Step 2: Convert to fraction form
    310.52/465.81 = 105.05/x
  3. Step 3: Cross multiply
    310.52x = 465.81 × 105.05
  4. Step 4: Simplify right side
    310.52x = 48,931.01
  5. Step 5: Solve for x
    x = 48,931.01/310.52
  6. Step 6: Final answer
    x = 157.58

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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.