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Finding the Fourth Proportional to 315.56, 473.49 and 153.26

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Solution

The fourth proportional to 315.56, 473.49 and 153.26 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.56 : 473.49 = 153.26 : x
  2. Step 2: Convert to fraction form
    315.56/473.49 = 153.26/x
  3. Step 3: Cross multiply
    315.56x = 473.49 × 153.26
  4. Step 4: Simplify right side
    315.56x = 72,567.08
  5. Step 5: Solve for x
    x = 72,567.08/315.56
  6. Step 6: Final answer
    x = 229.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.