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Finding the Fourth Proportional to 315.09, 472.73 and 178.23

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Solution

The fourth proportional to 315.09, 472.73 and 178.23 is: 267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 472.73 = 178.23 : x
  2. Step 2: Convert to fraction form
    315.09/472.73 = 178.23/x
  3. Step 3: Cross multiply
    315.09x = 472.73 × 178.23
  4. Step 4: Simplify right side
    315.09x = 84,254.67
  5. Step 5: Solve for x
    x = 84,254.67/315.09
  6. Step 6: Final answer
    x = 267.40

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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.