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Finding the Fourth Proportional to 191.84, 285.95 and 181.58

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Solution

The fourth proportional to 191.84, 285.95 and 181.58 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.84 : 285.95 = 181.58 : x
  2. Step 2: Convert to fraction form
    191.84/285.95 = 181.58/x
  3. Step 3: Cross multiply
    191.84x = 285.95 × 181.58
  4. Step 4: Simplify right side
    191.84x = 51,921.83
  5. Step 5: Solve for x
    x = 51,921.83/191.84
  6. Step 6: Final answer
    x = 270.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.