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Finding the Fourth Proportional to 210.22, 290.28 and 169

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Solution

The fourth proportional to 210.22, 290.28 and 169 is: 233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.22 : 290.28 = 169 : x
  2. Step 2: Convert to fraction form
    210.22/290.28 = 169/x
  3. Step 3: Cross multiply
    210.22x = 290.28 × 169
  4. Step 4: Simplify right side
    210.22x = 49,057.32
  5. Step 5: Solve for x
    x = 49,057.32/210.22
  6. Step 6: Final answer
    x = 233.36

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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.