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Finding the Fourth Proportional to 188.59, 282.96 and 152.36

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Solution

The fourth proportional to 188.59, 282.96 and 152.36 is: 228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.59 : 282.96 = 152.36 : x
  2. Step 2: Convert to fraction form
    188.59/282.96 = 152.36/x
  3. Step 3: Cross multiply
    188.59x = 282.96 × 152.36
  4. Step 4: Simplify right side
    188.59x = 43,112.60
  5. Step 5: Solve for x
    x = 43,112.60/188.59
  6. Step 6: Final answer
    x = 228.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.