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Finding the Fourth Proportional to 258.03, 355.64 and 184.23

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Solution

The fourth proportional to 258.03, 355.64 and 184.23 is: 253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.03 : 355.64 = 184.23 : x
  2. Step 2: Convert to fraction form
    258.03/355.64 = 184.23/x
  3. Step 3: Cross multiply
    258.03x = 355.64 × 184.23
  4. Step 4: Simplify right side
    258.03x = 65,518.64
  5. Step 5: Solve for x
    x = 65,518.64/258.03
  6. Step 6: Final answer
    x = 253.92

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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.