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Finding the Fourth Proportional to 188.09, 280.77 and 162.58

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Solution

The fourth proportional to 188.09, 280.77 and 162.58 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.09 : 280.77 = 162.58 : x
  2. Step 2: Convert to fraction form
    188.09/280.77 = 162.58/x
  3. Step 3: Cross multiply
    188.09x = 280.77 × 162.58
  4. Step 4: Simplify right side
    188.09x = 45,646.59
  5. Step 5: Solve for x
    x = 45,646.59/188.09
  6. Step 6: Final answer
    x = 242.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.