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Finding the Fourth Proportional to 259.12, 390.61 and 241.93

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Solution

The fourth proportional to 259.12, 390.61 and 241.93 is: 364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.12 : 390.61 = 241.93 : x
  2. Step 2: Convert to fraction form
    259.12/390.61 = 241.93/x
  3. Step 3: Cross multiply
    259.12x = 390.61 × 241.93
  4. Step 4: Simplify right side
    259.12x = 94,500.65
  5. Step 5: Solve for x
    x = 94,500.65/259.12
  6. Step 6: Final answer
    x = 364.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.