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Finding the Fourth Proportional to 210.47, 290.47 and 152.29

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Solution

The fourth proportional to 210.47, 290.47 and 152.29 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.47 : 290.47 = 152.29 : x
  2. Step 2: Convert to fraction form
    210.47/290.47 = 152.29/x
  3. Step 3: Cross multiply
    210.47x = 290.47 × 152.29
  4. Step 4: Simplify right side
    210.47x = 44,235.68
  5. Step 5: Solve for x
    x = 44,235.68/210.47
  6. Step 6: Final answer
    x = 210.18

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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.