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Finding the Fourth Proportional to 286.84, 395.50 and 187.32

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Solution

The fourth proportional to 286.84, 395.50 and 187.32 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.84 : 395.50 = 187.32 : x
  2. Step 2: Convert to fraction form
    286.84/395.50 = 187.32/x
  3. Step 3: Cross multiply
    286.84x = 395.50 × 187.32
  4. Step 4: Simplify right side
    286.84x = 74,085.06
  5. Step 5: Solve for x
    x = 74,085.06/286.84
  6. Step 6: Final answer
    x = 258.28

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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.