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Finding the Fourth Proportional to 315.54, 473.15 and 110.10

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Solution

The fourth proportional to 315.54, 473.15 and 110.10 is: 165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.54 : 473.15 = 110.10 : x
  2. Step 2: Convert to fraction form
    315.54/473.15 = 110.10/x
  3. Step 3: Cross multiply
    315.54x = 473.15 × 110.10
  4. Step 4: Simplify right side
    315.54x = 52,094.82
  5. Step 5: Solve for x
    x = 52,094.82/315.54
  6. Step 6: Final answer
    x = 165.10

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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.