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Finding the Fourth Proportional to 253.95, 380.99 and 99.92

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Solution

The fourth proportional to 253.95, 380.99 and 99.92 is: 149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.95 : 380.99 = 99.92 : x
  2. Step 2: Convert to fraction form
    253.95/380.99 = 99.92/x
  3. Step 3: Cross multiply
    253.95x = 380.99 × 99.92
  4. Step 4: Simplify right side
    253.95x = 38,068.52
  5. Step 5: Solve for x
    x = 38,068.52/253.95
  6. Step 6: Final answer
    x = 149.91

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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.