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Finding the Fourth Proportional to 314.25, 433.67 and 176.25

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Solution

The fourth proportional to 314.25, 433.67 and 176.25 is: 243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 433.67 = 176.25 : x
  2. Step 2: Convert to fraction form
    314.25/433.67 = 176.25/x
  3. Step 3: Cross multiply
    314.25x = 433.67 × 176.25
  4. Step 4: Simplify right side
    314.25x = 76,434.34
  5. Step 5: Solve for x
    x = 76,434.34/314.25
  6. Step 6: Final answer
    x = 243.23

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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.