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Finding the Fourth Proportional to 230.37, 344.93 and 176.01

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Solution

The fourth proportional to 230.37, 344.93 and 176.01 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.37 : 344.93 = 176.01 : x
  2. Step 2: Convert to fraction form
    230.37/344.93 = 176.01/x
  3. Step 3: Cross multiply
    230.37x = 344.93 × 176.01
  4. Step 4: Simplify right side
    230.37x = 60,710.25
  5. Step 5: Solve for x
    x = 60,710.25/230.37
  6. Step 6: Final answer
    x = 263.53

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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.