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Finding the Fourth Proportional to 230.51, 345.79 and 65.98

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Solution

The fourth proportional to 230.51, 345.79 and 65.98 is: 98.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.51 : 345.79 = 65.98 : x
  2. Step 2: Convert to fraction form
    230.51/345.79 = 65.98/x
  3. Step 3: Cross multiply
    230.51x = 345.79 × 65.98
  4. Step 4: Simplify right side
    230.51x = 22,814.19
  5. Step 5: Solve for x
    x = 22,814.19/230.51
  6. Step 6: Final answer
    x = 98.97

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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.