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Finding the Fourth Proportional to 315, 472.70 and 122.63

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Solution

The fourth proportional to 315, 472.70 and 122.63 is: 184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 472.70 = 122.63 : x
  2. Step 2: Convert to fraction form
    315/472.70 = 122.63/x
  3. Step 3: Cross multiply
    315x = 472.70 × 122.63
  4. Step 4: Simplify right side
    315x = 57,965.14
  5. Step 5: Solve for x
    x = 57,965.14/315
  6. Step 6: Final answer
    x = 184.02

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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.