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Finding the Fourth Proportional to 188.10, 282.06 and 142.92

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Solution

The fourth proportional to 188.10, 282.06 and 142.92 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 282.06 = 142.92 : x
  2. Step 2: Convert to fraction form
    188.10/282.06 = 142.92/x
  3. Step 3: Cross multiply
    188.10x = 282.06 × 142.92
  4. Step 4: Simplify right side
    188.10x = 40,312.02
  5. Step 5: Solve for x
    x = 40,312.02/188.10
  6. Step 6: Final answer
    x = 214.31

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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.