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Finding the Fourth Proportional to 313.21, 432.13 and 188.83

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Solution

The fourth proportional to 313.21, 432.13 and 188.83 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.21 : 432.13 = 188.83 : x
  2. Step 2: Convert to fraction form
    313.21/432.13 = 188.83/x
  3. Step 3: Cross multiply
    313.21x = 432.13 × 188.83
  4. Step 4: Simplify right side
    313.21x = 81,599.11
  5. Step 5: Solve for x
    x = 81,599.11/313.21
  6. Step 6: Final answer
    x = 260.53

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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.