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Finding the Fourth Proportional to 295.03, 405.16 and 262.27

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Solution

The fourth proportional to 295.03, 405.16 and 262.27 is: 360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.03 : 405.16 = 262.27 : x
  2. Step 2: Convert to fraction form
    295.03/405.16 = 262.27/x
  3. Step 3: Cross multiply
    295.03x = 405.16 × 262.27
  4. Step 4: Simplify right side
    295.03x = 106,261.31
  5. Step 5: Solve for x
    x = 106,261.31/295.03
  6. Step 6: Final answer
    x = 360.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.