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Finding the Fourth Proportional to 159.51, 238.95 and 108.00

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Solution

The fourth proportional to 159.51, 238.95 and 108.00 is: 161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.51 : 238.95 = 108.00 : x
  2. Step 2: Convert to fraction form
    159.51/238.95 = 108.00/x
  3. Step 3: Cross multiply
    159.51x = 238.95 × 108.00
  4. Step 4: Simplify right side
    159.51x = 25,807.47
  5. Step 5: Solve for x
    x = 25,807.47/159.51
  6. Step 6: Final answer
    x = 161.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.