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Finding the Fourth Proportional to 210.57, 290.57 and 123.24

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Solution

The fourth proportional to 210.57, 290.57 and 123.24 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.57 : 290.57 = 123.24 : x
  2. Step 2: Convert to fraction form
    210.57/290.57 = 123.24/x
  3. Step 3: Cross multiply
    210.57x = 290.57 × 123.24
  4. Step 4: Simplify right side
    210.57x = 35,809.23
  5. Step 5: Solve for x
    x = 35,809.23/210.57
  6. Step 6: Final answer
    x = 170.06

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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.