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Finding the Fourth Proportional to 187.86, 283.08 and 179.58

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Solution

The fourth proportional to 187.86, 283.08 and 179.58 is: 270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 283.08 = 179.58 : x
  2. Step 2: Convert to fraction form
    187.86/283.08 = 179.58/x
  3. Step 3: Cross multiply
    187.86x = 283.08 × 179.58
  4. Step 4: Simplify right side
    187.86x = 50,835.51
  5. Step 5: Solve for x
    x = 50,835.51/187.86
  6. Step 6: Final answer
    x = 270.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.