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Finding the Fourth Proportional to 225.10, 310.64 and 147.47

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Solution

The fourth proportional to 225.10, 310.64 and 147.47 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.10 : 310.64 = 147.47 : x
  2. Step 2: Convert to fraction form
    225.10/310.64 = 147.47/x
  3. Step 3: Cross multiply
    225.10x = 310.64 × 147.47
  4. Step 4: Simplify right side
    225.10x = 45,809.34
  5. Step 5: Solve for x
    x = 45,809.34/225.10
  6. Step 6: Final answer
    x = 203.51

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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.