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Finding the Fourth Proportional to 263.45, 363.64 and 152.98

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Solution

The fourth proportional to 263.45, 363.64 and 152.98 is: 211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.45 : 363.64 = 152.98 : x
  2. Step 2: Convert to fraction form
    263.45/363.64 = 152.98/x
  3. Step 3: Cross multiply
    263.45x = 363.64 × 152.98
  4. Step 4: Simplify right side
    263.45x = 55,629.65
  5. Step 5: Solve for x
    x = 55,629.65/263.45
  6. Step 6: Final answer
    x = 211.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.