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Finding the Fourth Proportional to 205.76, 307.18 and 175.02

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Solution

The fourth proportional to 205.76, 307.18 and 175.02 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.76 : 307.18 = 175.02 : x
  2. Step 2: Convert to fraction form
    205.76/307.18 = 175.02/x
  3. Step 3: Cross multiply
    205.76x = 307.18 × 175.02
  4. Step 4: Simplify right side
    205.76x = 53,762.64
  5. Step 5: Solve for x
    x = 53,762.64/205.76
  6. Step 6: Final answer
    x = 261.29

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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.