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Finding the Fourth Proportional to 259.80, 390.15 and 183.30

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Solution

The fourth proportional to 259.80, 390.15 and 183.30 is: 275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 390.15 = 183.30 : x
  2. Step 2: Convert to fraction form
    259.80/390.15 = 183.30/x
  3. Step 3: Cross multiply
    259.80x = 390.15 × 183.30
  4. Step 4: Simplify right side
    259.80x = 71,514.50
  5. Step 5: Solve for x
    x = 71,514.50/259.80
  6. Step 6: Final answer
    x = 275.27

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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.