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Finding the Fourth Proportional to 210.42, 290.00 and 177.17

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Solution

The fourth proportional to 210.42, 290.00 and 177.17 is: 244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.42 : 290.00 = 177.17 : x
  2. Step 2: Convert to fraction form
    210.42/290.00 = 177.17/x
  3. Step 3: Cross multiply
    210.42x = 290.00 × 177.17
  4. Step 4: Simplify right side
    210.42x = 51,378.29
  5. Step 5: Solve for x
    x = 51,378.29/210.42
  6. Step 6: Final answer
    x = 244.17

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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.