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Finding the Fourth Proportional to 314.70, 434.24 and 188.66

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Solution

The fourth proportional to 314.70, 434.24 and 188.66 is: 260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 434.24 = 188.66 : x
  2. Step 2: Convert to fraction form
    314.70/434.24 = 188.66/x
  3. Step 3: Cross multiply
    314.70x = 434.24 × 188.66
  4. Step 4: Simplify right side
    314.70x = 81,920.60
  5. Step 5: Solve for x
    x = 81,920.60/314.70
  6. Step 6: Final answer
    x = 260.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.