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Finding the Fourth Proportional to 241.20, 360.27 and 207.06

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Solution

The fourth proportional to 241.20, 360.27 and 207.06 is: 309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.20 : 360.27 = 207.06 : x
  2. Step 2: Convert to fraction form
    241.20/360.27 = 207.06/x
  3. Step 3: Cross multiply
    241.20x = 360.27 × 207.06
  4. Step 4: Simplify right side
    241.20x = 74,597.51
  5. Step 5: Solve for x
    x = 74,597.51/241.20
  6. Step 6: Final answer
    x = 309.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.