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Finding the Fourth Proportional to 259.10, 357.48 and 148.51

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Solution

The fourth proportional to 259.10, 357.48 and 148.51 is: 204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 357.48 = 148.51 : x
  2. Step 2: Convert to fraction form
    259.10/357.48 = 148.51/x
  3. Step 3: Cross multiply
    259.10x = 357.48 × 148.51
  4. Step 4: Simplify right side
    259.10x = 53,087.57
  5. Step 5: Solve for x
    x = 53,087.57/259.10
  6. Step 6: Final answer
    x = 204.90

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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.