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Finding the Fourth Proportional to 230.84, 346.36 and 177.08

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Solution

The fourth proportional to 230.84, 346.36 and 177.08 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.84 : 346.36 = 177.08 : x
  2. Step 2: Convert to fraction form
    230.84/346.36 = 177.08/x
  3. Step 3: Cross multiply
    230.84x = 346.36 × 177.08
  4. Step 4: Simplify right side
    230.84x = 61,333.43
  5. Step 5: Solve for x
    x = 61,333.43/230.84
  6. Step 6: Final answer
    x = 265.70

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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.