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Finding the Fourth Proportional to 263.06, 363 and 152.54

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Solution

The fourth proportional to 263.06, 363 and 152.54 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 363 = 152.54 : x
  2. Step 2: Convert to fraction form
    263.06/363 = 152.54/x
  3. Step 3: Cross multiply
    263.06x = 363 × 152.54
  4. Step 4: Simplify right side
    263.06x = 55,372.02
  5. Step 5: Solve for x
    x = 55,372.02/263.06
  6. Step 6: Final answer
    x = 210.49

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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.