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Finding the Fourth Proportional to 315.51, 473.12 and 110.05

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Solution

The fourth proportional to 315.51, 473.12 and 110.05 is: 165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.51 : 473.12 = 110.05 : x
  2. Step 2: Convert to fraction form
    315.51/473.12 = 110.05/x
  3. Step 3: Cross multiply
    315.51x = 473.12 × 110.05
  4. Step 4: Simplify right side
    315.51x = 52,069.02
  5. Step 5: Solve for x
    x = 52,069.02/315.51
  6. Step 6: Final answer
    x = 165.03

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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.