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Finding the Fourth Proportional to 258.90, 356.76 and 188.82

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Solution

The fourth proportional to 258.90, 356.76 and 188.82 is: 260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.90 : 356.76 = 188.82 : x
  2. Step 2: Convert to fraction form
    258.90/356.76 = 188.82/x
  3. Step 3: Cross multiply
    258.90x = 356.76 × 188.82
  4. Step 4: Simplify right side
    258.90x = 67,363.42
  5. Step 5: Solve for x
    x = 67,363.42/258.90
  6. Step 6: Final answer
    x = 260.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.