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Finding the Fourth Proportional to 165.19, 248.77 and 124.90

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Solution

The fourth proportional to 165.19, 248.77 and 124.90 is: 188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 248.77 = 124.90 : x
  2. Step 2: Convert to fraction form
    165.19/248.77 = 124.90/x
  3. Step 3: Cross multiply
    165.19x = 248.77 × 124.90
  4. Step 4: Simplify right side
    165.19x = 31,071.37
  5. Step 5: Solve for x
    x = 31,071.37/165.19
  6. Step 6: Final answer
    x = 188.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.