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Finding the Fourth Proportional to 210.51, 290.57 and 123.21

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Solution

The fourth proportional to 210.51, 290.57 and 123.21 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.51 : 290.57 = 123.21 : x
  2. Step 2: Convert to fraction form
    210.51/290.57 = 123.21/x
  3. Step 3: Cross multiply
    210.51x = 290.57 × 123.21
  4. Step 4: Simplify right side
    210.51x = 35,800.51
  5. Step 5: Solve for x
    x = 35,800.51/210.51
  6. Step 6: Final answer
    x = 170.07

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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.