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Finding the Fourth Proportional to 191.19, 285.54 and 152.73

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Solution

The fourth proportional to 191.19, 285.54 and 152.73 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.19 : 285.54 = 152.73 : x
  2. Step 2: Convert to fraction form
    191.19/285.54 = 152.73/x
  3. Step 3: Cross multiply
    191.19x = 285.54 × 152.73
  4. Step 4: Simplify right side
    191.19x = 43,610.52
  5. Step 5: Solve for x
    x = 43,610.52/191.19
  6. Step 6: Final answer
    x = 228.10

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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.