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Finding the Fourth Proportional to 279.56, 419.29 and 176.53

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Solution

The fourth proportional to 279.56, 419.29 and 176.53 is: 264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.56 : 419.29 = 176.53 : x
  2. Step 2: Convert to fraction form
    279.56/419.29 = 176.53/x
  3. Step 3: Cross multiply
    279.56x = 419.29 × 176.53
  4. Step 4: Simplify right side
    279.56x = 74,017.26
  5. Step 5: Solve for x
    x = 74,017.26/279.56
  6. Step 6: Final answer
    x = 264.76

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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.