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Finding the Fourth Proportional to 151.41, 226.95 and 64.70

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Solution

The fourth proportional to 151.41, 226.95 and 64.70 is: 96.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.41 : 226.95 = 64.70 : x
  2. Step 2: Convert to fraction form
    151.41/226.95 = 64.70/x
  3. Step 3: Cross multiply
    151.41x = 226.95 × 64.70
  4. Step 4: Simplify right side
    151.41x = 14,684.07
  5. Step 5: Solve for x
    x = 14,684.07/151.41
  6. Step 6: Final answer
    x = 96.98

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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.