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Finding the Fourth Proportional to 259.30, 357.83 and 148.77

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Solution

The fourth proportional to 259.30, 357.83 and 148.77 is: 205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.30 : 357.83 = 148.77 : x
  2. Step 2: Convert to fraction form
    259.30/357.83 = 148.77/x
  3. Step 3: Cross multiply
    259.30x = 357.83 × 148.77
  4. Step 4: Simplify right side
    259.30x = 53,234.37
  5. Step 5: Solve for x
    x = 53,234.37/259.30
  6. Step 6: Final answer
    x = 205.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.