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Finding the Fourth Proportional to 313.14, 432.10 and 175.14

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Solution

The fourth proportional to 313.14, 432.10 and 175.14 is: 241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.14 : 432.10 = 175.14 : x
  2. Step 2: Convert to fraction form
    313.14/432.10 = 175.14/x
  3. Step 3: Cross multiply
    313.14x = 432.10 × 175.14
  4. Step 4: Simplify right side
    313.14x = 75,677.99
  5. Step 5: Solve for x
    x = 75,677.99/313.14
  6. Step 6: Final answer
    x = 241.67

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