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Finding the Fourth Proportional to 205.16, 307.71 and 124.35

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Solution

The fourth proportional to 205.16, 307.71 and 124.35 is: 186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.16 : 307.71 = 124.35 : x
  2. Step 2: Convert to fraction form
    205.16/307.71 = 124.35/x
  3. Step 3: Cross multiply
    205.16x = 307.71 × 124.35
  4. Step 4: Simplify right side
    205.16x = 38,263.74
  5. Step 5: Solve for x
    x = 38,263.74/205.16
  6. Step 6: Final answer
    x = 186.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.