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Finding the Fourth Proportional to 315.18, 472.52 and 109.64

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Solution

The fourth proportional to 315.18, 472.52 and 109.64 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.18 : 472.52 = 109.64 : x
  2. Step 2: Convert to fraction form
    315.18/472.52 = 109.64/x
  3. Step 3: Cross multiply
    315.18x = 472.52 × 109.64
  4. Step 4: Simplify right side
    315.18x = 51,804.18
  5. Step 5: Solve for x
    x = 51,804.18/315.18
  6. Step 6: Final answer
    x = 164.36

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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.