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Finding the Fourth Proportional to 257.82, 355.82 and 188.10

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Solution

The fourth proportional to 257.82, 355.82 and 188.10 is: 259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.82 : 355.82 = 188.10 : x
  2. Step 2: Convert to fraction form
    257.82/355.82 = 188.10/x
  3. Step 3: Cross multiply
    257.82x = 355.82 × 188.10
  4. Step 4: Simplify right side
    257.82x = 66,929.74
  5. Step 5: Solve for x
    x = 66,929.74/257.82
  6. Step 6: Final answer
    x = 259.60

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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.