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Finding the Fourth Proportional to 315.96, 473.42 and 192.50

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Solution

The fourth proportional to 315.96, 473.42 and 192.50 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 473.42 = 192.50 : x
  2. Step 2: Convert to fraction form
    315.96/473.42 = 192.50/x
  3. Step 3: Cross multiply
    315.96x = 473.42 × 192.50
  4. Step 4: Simplify right side
    315.96x = 91,130.02
  5. Step 5: Solve for x
    x = 91,130.02/315.96
  6. Step 6: Final answer
    x = 288.42

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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.