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Finding the Fourth Proportional to 210.84, 290.89 and 123.45

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Solution

The fourth proportional to 210.84, 290.89 and 123.45 is: 170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 290.89 = 123.45 : x
  2. Step 2: Convert to fraction form
    210.84/290.89 = 123.45/x
  3. Step 3: Cross multiply
    210.84x = 290.89 × 123.45
  4. Step 4: Simplify right side
    210.84x = 35,910.37
  5. Step 5: Solve for x
    x = 35,910.37/210.84
  6. Step 6: Final answer
    x = 170.32

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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.