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Finding the Fourth Proportional to 446.66, 670.15 and 186.58

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Solution

The fourth proportional to 446.66, 670.15 and 186.58 is: 279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.66 : 670.15 = 186.58 : x
  2. Step 2: Convert to fraction form
    446.66/670.15 = 186.58/x
  3. Step 3: Cross multiply
    446.66x = 670.15 × 186.58
  4. Step 4: Simplify right side
    446.66x = 125,035.25
  5. Step 5: Solve for x
    x = 125,035.25/446.66
  6. Step 6: Final answer
    x = 279.93

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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.