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Finding the Fourth Proportional to 259, 357.41 and 148.49

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Solution

The fourth proportional to 259, 357.41 and 148.49 is: 204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 357.41 = 148.49 : x
  2. Step 2: Convert to fraction form
    259/357.41 = 148.49/x
  3. Step 3: Cross multiply
    259x = 357.41 × 148.49
  4. Step 4: Simplify right side
    259x = 53,071.81
  5. Step 5: Solve for x
    x = 53,071.81/259
  6. Step 6: Final answer
    x = 204.91

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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.