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Finding the Fourth Proportional to 258.04, 386.91 and 136.06

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Solution

The fourth proportional to 258.04, 386.91 and 136.06 is: 204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.04 : 386.91 = 136.06 : x
  2. Step 2: Convert to fraction form
    258.04/386.91 = 136.06/x
  3. Step 3: Cross multiply
    258.04x = 386.91 × 136.06
  4. Step 4: Simplify right side
    258.04x = 52,642.97
  5. Step 5: Solve for x
    x = 52,642.97/258.04
  6. Step 6: Final answer
    x = 204.01

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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.