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Finding the Fourth Proportional to 225.56, 337.80 and 117.02

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Solution

The fourth proportional to 225.56, 337.80 and 117.02 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 337.80 = 117.02 : x
  2. Step 2: Convert to fraction form
    225.56/337.80 = 117.02/x
  3. Step 3: Cross multiply
    225.56x = 337.80 × 117.02
  4. Step 4: Simplify right side
    225.56x = 39,529.36
  5. Step 5: Solve for x
    x = 39,529.36/225.56
  6. Step 6: Final answer
    x = 175.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.