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Finding the Fourth Proportional to 188.10, 282.21 and 72.58

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Solution

The fourth proportional to 188.10, 282.21 and 72.58 is: 108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 282.21 = 72.58 : x
  2. Step 2: Convert to fraction form
    188.10/282.21 = 72.58/x
  3. Step 3: Cross multiply
    188.10x = 282.21 × 72.58
  4. Step 4: Simplify right side
    188.10x = 20,482.10
  5. Step 5: Solve for x
    x = 20,482.10/188.10
  6. Step 6: Final answer
    x = 108.89

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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.