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Finding the Fourth Proportional to 225.01, 310.58 and 165.25

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Solution

The fourth proportional to 225.01, 310.58 and 165.25 is: 228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.01 : 310.58 = 165.25 : x
  2. Step 2: Convert to fraction form
    225.01/310.58 = 165.25/x
  3. Step 3: Cross multiply
    225.01x = 310.58 × 165.25
  4. Step 4: Simplify right side
    225.01x = 51,323.35
  5. Step 5: Solve for x
    x = 51,323.35/225.01
  6. Step 6: Final answer
    x = 228.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.