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Finding the Fourth Proportional to 188.63, 282.70 and 102

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Solution

The fourth proportional to 188.63, 282.70 and 102 is: 152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.63 : 282.70 = 102 : x
  2. Step 2: Convert to fraction form
    188.63/282.70 = 102/x
  3. Step 3: Cross multiply
    188.63x = 282.70 × 102
  4. Step 4: Simplify right side
    188.63x = 28,835.15
  5. Step 5: Solve for x
    x = 28,835.15/188.63
  6. Step 6: Final answer
    x = 152.86

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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.