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Finding the Fourth Proportional to 210.76, 289.95 and 161.55

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Solution

The fourth proportional to 210.76, 289.95 and 161.55 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.76 : 289.95 = 161.55 : x
  2. Step 2: Convert to fraction form
    210.76/289.95 = 161.55/x
  3. Step 3: Cross multiply
    210.76x = 289.95 × 161.55
  4. Step 4: Simplify right side
    210.76x = 46,840.82
  5. Step 5: Solve for x
    x = 46,840.82/210.76
  6. Step 6: Final answer
    x = 222.25

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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.