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Finding the Fourth Proportional to 282.58, 390.26 and 189.75

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Solution

The fourth proportional to 282.58, 390.26 and 189.75 is: 262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.58 : 390.26 = 189.75 : x
  2. Step 2: Convert to fraction form
    282.58/390.26 = 189.75/x
  3. Step 3: Cross multiply
    282.58x = 390.26 × 189.75
  4. Step 4: Simplify right side
    282.58x = 74,051.84
  5. Step 5: Solve for x
    x = 74,051.84/282.58
  6. Step 6: Final answer
    x = 262.06

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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.