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Finding the Fourth Proportional to 205.96, 307.62 and 176.93

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Solution

The fourth proportional to 205.96, 307.62 and 176.93 is: 264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 307.62 = 176.93 : x
  2. Step 2: Convert to fraction form
    205.96/307.62 = 176.93/x
  3. Step 3: Cross multiply
    205.96x = 307.62 × 176.93
  4. Step 4: Simplify right side
    205.96x = 54,427.21
  5. Step 5: Solve for x
    x = 54,427.21/205.96
  6. Step 6: Final answer
    x = 264.26

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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.