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Finding the Fourth Proportional to 187.51, 258.63 and 109.84

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Solution

The fourth proportional to 187.51, 258.63 and 109.84 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.51 : 258.63 = 109.84 : x
  2. Step 2: Convert to fraction form
    187.51/258.63 = 109.84/x
  3. Step 3: Cross multiply
    187.51x = 258.63 × 109.84
  4. Step 4: Simplify right side
    187.51x = 28,406.63
  5. Step 5: Solve for x
    x = 28,406.63/187.51
  6. Step 6: Final answer
    x = 151.50

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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.