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Finding the Fourth Proportional to 240.51, 359.04 and 209.75

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Solution

The fourth proportional to 240.51, 359.04 and 209.75 is: 313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.51 : 359.04 = 209.75 : x
  2. Step 2: Convert to fraction form
    240.51/359.04 = 209.75/x
  3. Step 3: Cross multiply
    240.51x = 359.04 × 209.75
  4. Step 4: Simplify right side
    240.51x = 75,307.59
  5. Step 5: Solve for x
    x = 75,307.59/240.51
  6. Step 6: Final answer
    x = 313.12

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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.