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Finding the Fourth Proportional to 313.46, 432.51 and 201.52

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Solution

The fourth proportional to 313.46, 432.51 and 201.52 is: 278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.46 : 432.51 = 201.52 : x
  2. Step 2: Convert to fraction form
    313.46/432.51 = 201.52/x
  3. Step 3: Cross multiply
    313.46x = 432.51 × 201.52
  4. Step 4: Simplify right side
    313.46x = 87,159.42
  5. Step 5: Solve for x
    x = 87,159.42/313.46
  6. Step 6: Final answer
    x = 278.06

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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.