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Finding the Fourth Proportional to 306.95, 423.59 and 167.07

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Solution

The fourth proportional to 306.95, 423.59 and 167.07 is: 230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.95 : 423.59 = 167.07 : x
  2. Step 2: Convert to fraction form
    306.95/423.59 = 167.07/x
  3. Step 3: Cross multiply
    306.95x = 423.59 × 167.07
  4. Step 4: Simplify right side
    306.95x = 70,769.81
  5. Step 5: Solve for x
    x = 70,769.81/306.95
  6. Step 6: Final answer
    x = 230.56

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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.