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Finding the Fourth Proportional to 312.84, 431.76 and 188.57

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Solution

The fourth proportional to 312.84, 431.76 and 188.57 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 431.76 = 188.57 : x
  2. Step 2: Convert to fraction form
    312.84/431.76 = 188.57/x
  3. Step 3: Cross multiply
    312.84x = 431.76 × 188.57
  4. Step 4: Simplify right side
    312.84x = 81,416.98
  5. Step 5: Solve for x
    x = 81,416.98/312.84
  6. Step 6: Final answer
    x = 260.25

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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.