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Finding the Fourth Proportional to 263.66, 395.64 and 101.34

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Solution

The fourth proportional to 263.66, 395.64 and 101.34 is: 152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 395.64 = 101.34 : x
  2. Step 2: Convert to fraction form
    263.66/395.64 = 101.34/x
  3. Step 3: Cross multiply
    263.66x = 395.64 × 101.34
  4. Step 4: Simplify right side
    263.66x = 40,094.16
  5. Step 5: Solve for x
    x = 40,094.16/263.66
  6. Step 6: Final answer
    x = 152.07

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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.