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Finding the Fourth Proportional to 310.86, 465.85 and 156.82

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Solution

The fourth proportional to 310.86, 465.85 and 156.82 is: 235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.86 : 465.85 = 156.82 : x
  2. Step 2: Convert to fraction form
    310.86/465.85 = 156.82/x
  3. Step 3: Cross multiply
    310.86x = 465.85 × 156.82
  4. Step 4: Simplify right side
    310.86x = 73,054.60
  5. Step 5: Solve for x
    x = 73,054.60/310.86
  6. Step 6: Final answer
    x = 235.01

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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.