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Finding the Fourth Proportional to 258.42, 356.95 and 188.36

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Solution

The fourth proportional to 258.42, 356.95 and 188.36 is: 260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 356.95 = 188.36 : x
  2. Step 2: Convert to fraction form
    258.42/356.95 = 188.36/x
  3. Step 3: Cross multiply
    258.42x = 356.95 × 188.36
  4. Step 4: Simplify right side
    258.42x = 67,235.10
  5. Step 5: Solve for x
    x = 67,235.10/258.42
  6. Step 6: Final answer
    x = 260.18

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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.