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Finding the Fourth Proportional to 210.44, 290.58 and 176.12

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Solution

The fourth proportional to 210.44, 290.58 and 176.12 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.44 : 290.58 = 176.12 : x
  2. Step 2: Convert to fraction form
    210.44/290.58 = 176.12/x
  3. Step 3: Cross multiply
    210.44x = 290.58 × 176.12
  4. Step 4: Simplify right side
    210.44x = 51,176.95
  5. Step 5: Solve for x
    x = 51,176.95/210.44
  6. Step 6: Final answer
    x = 243.19

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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.