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Finding the Fourth Proportional to 188.51, 260.15 and 123.08

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Solution

The fourth proportional to 188.51, 260.15 and 123.08 is: 169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.51 : 260.15 = 123.08 : x
  2. Step 2: Convert to fraction form
    188.51/260.15 = 123.08/x
  3. Step 3: Cross multiply
    188.51x = 260.15 × 123.08
  4. Step 4: Simplify right side
    188.51x = 32,017.35
  5. Step 5: Solve for x
    x = 32,017.35/188.51
  6. Step 6: Final answer
    x = 169.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.