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Finding the Fourth Proportional to 210.04, 288.29 and 186.20

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Solution

The fourth proportional to 210.04, 288.29 and 186.20 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.04 : 288.29 = 186.20 : x
  2. Step 2: Convert to fraction form
    210.04/288.29 = 186.20/x
  3. Step 3: Cross multiply
    210.04x = 288.29 × 186.20
  4. Step 4: Simplify right side
    210.04x = 53,677.23
  5. Step 5: Solve for x
    x = 53,677.23/210.04
  6. Step 6: Final answer
    x = 255.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.