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Finding the Fourth Proportional to 263.42, 363.46 and 152.89

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Solution

The fourth proportional to 263.42, 363.46 and 152.89 is: 210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.42 : 363.46 = 152.89 : x
  2. Step 2: Convert to fraction form
    263.42/363.46 = 152.89/x
  3. Step 3: Cross multiply
    263.42x = 363.46 × 152.89
  4. Step 4: Simplify right side
    263.42x = 55,569.40
  5. Step 5: Solve for x
    x = 55,569.40/263.42
  6. Step 6: Final answer
    x = 210.95

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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.