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Finding the Fourth Proportional to 315.30, 473.04 and 109.86

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Solution

The fourth proportional to 315.30, 473.04 and 109.86 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.30 : 473.04 = 109.86 : x
  2. Step 2: Convert to fraction form
    315.30/473.04 = 109.86/x
  3. Step 3: Cross multiply
    315.30x = 473.04 × 109.86
  4. Step 4: Simplify right side
    315.30x = 51,968.17
  5. Step 5: Solve for x
    x = 51,968.17/315.30
  6. Step 6: Final answer
    x = 164.82

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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.