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Finding the Fourth Proportional to 315.75, 473.46 and 153.35

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Solution

The fourth proportional to 315.75, 473.46 and 153.35 is: 229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.75 : 473.46 = 153.35 : x
  2. Step 2: Convert to fraction form
    315.75/473.46 = 153.35/x
  3. Step 3: Cross multiply
    315.75x = 473.46 × 153.35
  4. Step 4: Simplify right side
    315.75x = 72,605.09
  5. Step 5: Solve for x
    x = 72,605.09/315.75
  6. Step 6: Final answer
    x = 229.94

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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.