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Finding the Fourth Proportional to 220.71, 304.55 and 185.65

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Solution

The fourth proportional to 220.71, 304.55 and 185.65 is: 256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.71 : 304.55 = 185.65 : x
  2. Step 2: Convert to fraction form
    220.71/304.55 = 185.65/x
  3. Step 3: Cross multiply
    220.71x = 304.55 × 185.65
  4. Step 4: Simplify right side
    220.71x = 56,538.02
  5. Step 5: Solve for x
    x = 56,538.02/220.71
  6. Step 6: Final answer
    x = 256.16

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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.