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Finding the Fourth Proportional to 258, 355.82 and 184.16

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Solution

The fourth proportional to 258, 355.82 and 184.16 is: 253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 355.82 = 184.16 : x
  2. Step 2: Convert to fraction form
    258/355.82 = 184.16/x
  3. Step 3: Cross multiply
    258x = 355.82 × 184.16
  4. Step 4: Simplify right side
    258x = 65,525.11
  5. Step 5: Solve for x
    x = 65,525.11/258
  6. Step 6: Final answer
    x = 253.97

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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.