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Finding the Fourth Proportional to 220.53, 330.70 and 117.80

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Solution

The fourth proportional to 220.53, 330.70 and 117.80 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.53 : 330.70 = 117.80 : x
  2. Step 2: Convert to fraction form
    220.53/330.70 = 117.80/x
  3. Step 3: Cross multiply
    220.53x = 330.70 × 117.80
  4. Step 4: Simplify right side
    220.53x = 38,954.51
  5. Step 5: Solve for x
    x = 38,954.51/220.53
  6. Step 6: Final answer
    x = 176.64

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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.