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Finding the Fourth Proportional to 259.49, 358.04 and 148.96

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Solution

The fourth proportional to 259.49, 358.04 and 148.96 is: 205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 358.04 = 148.96 : x
  2. Step 2: Convert to fraction form
    259.49/358.04 = 148.96/x
  3. Step 3: Cross multiply
    259.49x = 358.04 × 148.96
  4. Step 4: Simplify right side
    259.49x = 53,333.64
  5. Step 5: Solve for x
    x = 53,333.64/259.49
  6. Step 6: Final answer
    x = 205.53

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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.