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Finding the Fourth Proportional to 309.95, 464.97 and 101.65

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Solution

The fourth proportional to 309.95, 464.97 and 101.65 is: 152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.95 : 464.97 = 101.65 : x
  2. Step 2: Convert to fraction form
    309.95/464.97 = 101.65/x
  3. Step 3: Cross multiply
    309.95x = 464.97 × 101.65
  4. Step 4: Simplify right side
    309.95x = 47,261.37
  5. Step 5: Solve for x
    x = 47,261.37/309.95
  6. Step 6: Final answer
    x = 152.48

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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.