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Finding the Fourth Proportional to 315.40, 473.09 and 110.11

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Solution

The fourth proportional to 315.40, 473.09 and 110.11 is: 165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.40 : 473.09 = 110.11 : x
  2. Step 2: Convert to fraction form
    315.40/473.09 = 110.11/x
  3. Step 3: Cross multiply
    315.40x = 473.09 × 110.11
  4. Step 4: Simplify right side
    315.40x = 52,091.03
  5. Step 5: Solve for x
    x = 52,091.03/315.40
  6. Step 6: Final answer
    x = 165.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.