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Finding the Fourth Proportional to 305.10, 421.02 and 174.06

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Solution

The fourth proportional to 305.10, 421.02 and 174.06 is: 240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.10 : 421.02 = 174.06 : x
  2. Step 2: Convert to fraction form
    305.10/421.02 = 174.06/x
  3. Step 3: Cross multiply
    305.10x = 421.02 × 174.06
  4. Step 4: Simplify right side
    305.10x = 73,282.74
  5. Step 5: Solve for x
    x = 73,282.74/305.10
  6. Step 6: Final answer
    x = 240.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.