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Finding the Fourth Proportional to 310.01, 464.98 and 78.89

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Solution

The fourth proportional to 310.01, 464.98 and 78.89 is: 118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.01 : 464.98 = 78.89 : x
  2. Step 2: Convert to fraction form
    310.01/464.98 = 78.89/x
  3. Step 3: Cross multiply
    310.01x = 464.98 × 78.89
  4. Step 4: Simplify right side
    310.01x = 36,682.27
  5. Step 5: Solve for x
    x = 36,682.27/310.01
  6. Step 6: Final answer
    x = 118.33

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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.