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Finding the Fourth Proportional to 258.83, 357.09 and 153.93

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Solution

The fourth proportional to 258.83, 357.09 and 153.93 is: 212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 357.09 = 153.93 : x
  2. Step 2: Convert to fraction form
    258.83/357.09 = 153.93/x
  3. Step 3: Cross multiply
    258.83x = 357.09 × 153.93
  4. Step 4: Simplify right side
    258.83x = 54,967.63
  5. Step 5: Solve for x
    x = 54,967.63/258.83
  6. Step 6: Final answer
    x = 212.37

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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.