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Finding the Fourth Proportional to 305.90, 459.25 and 169.01

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Solution

The fourth proportional to 305.90, 459.25 and 169.01 is: 253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.90 : 459.25 = 169.01 : x
  2. Step 2: Convert to fraction form
    305.90/459.25 = 169.01/x
  3. Step 3: Cross multiply
    305.90x = 459.25 × 169.01
  4. Step 4: Simplify right side
    305.90x = 77,617.84
  5. Step 5: Solve for x
    x = 77,617.84/305.90
  6. Step 6: Final answer
    x = 253.74

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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.