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Finding the Fourth Proportional to 265.48, 365.82 and 207.16

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Solution

The fourth proportional to 265.48, 365.82 and 207.16 is: 285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 365.82 = 207.16 : x
  2. Step 2: Convert to fraction form
    265.48/365.82 = 207.16/x
  3. Step 3: Cross multiply
    265.48x = 365.82 × 207.16
  4. Step 4: Simplify right side
    265.48x = 75,783.27
  5. Step 5: Solve for x
    x = 75,783.27/265.48
  6. Step 6: Final answer
    x = 285.46

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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.