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Finding the Fourth Proportional to 305.09, 457.06 and 202.26

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Solution

The fourth proportional to 305.09, 457.06 and 202.26 is: 303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.09 : 457.06 = 202.26 : x
  2. Step 2: Convert to fraction form
    305.09/457.06 = 202.26/x
  3. Step 3: Cross multiply
    305.09x = 457.06 × 202.26
  4. Step 4: Simplify right side
    305.09x = 92,444.96
  5. Step 5: Solve for x
    x = 92,444.96/305.09
  6. Step 6: Final answer
    x = 303.01

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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.