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Finding the Fourth Proportional to 315.84, 473.58 and 123.42

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Solution

The fourth proportional to 315.84, 473.58 and 123.42 is: 185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 473.58 = 123.42 : x
  2. Step 2: Convert to fraction form
    315.84/473.58 = 123.42/x
  3. Step 3: Cross multiply
    315.84x = 473.58 × 123.42
  4. Step 4: Simplify right side
    315.84x = 58,449.24
  5. Step 5: Solve for x
    x = 58,449.24/315.84
  6. Step 6: Final answer
    x = 185.06

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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.