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Finding the Fourth Proportional to 258, 354.96 and 192.24

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Solution

The fourth proportional to 258, 354.96 and 192.24 is: 264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 354.96 = 192.24 : x
  2. Step 2: Convert to fraction form
    258/354.96 = 192.24/x
  3. Step 3: Cross multiply
    258x = 354.96 × 192.24
  4. Step 4: Simplify right side
    258x = 68,237.51
  5. Step 5: Solve for x
    x = 68,237.51/258
  6. Step 6: Final answer
    x = 264.49

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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.