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Finding the Fourth Proportional to 188.61, 260.04 and 123.00

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Solution

The fourth proportional to 188.61, 260.04 and 123.00 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.61 : 260.04 = 123.00 : x
  2. Step 2: Convert to fraction form
    188.61/260.04 = 123.00/x
  3. Step 3: Cross multiply
    188.61x = 260.04 × 123.00
  4. Step 4: Simplify right side
    188.61x = 31,983.62
  5. Step 5: Solve for x
    x = 31,983.62/188.61
  6. Step 6: Final answer
    x = 169.58

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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.