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Finding the Fourth Proportional to 314.95, 434.66 and 175.11

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Solution

The fourth proportional to 314.95, 434.66 and 175.11 is: 241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.95 : 434.66 = 175.11 : x
  2. Step 2: Convert to fraction form
    314.95/434.66 = 175.11/x
  3. Step 3: Cross multiply
    314.95x = 434.66 × 175.11
  4. Step 4: Simplify right side
    314.95x = 76,112.44
  5. Step 5: Solve for x
    x = 76,112.44/314.95
  6. Step 6: Final answer
    x = 241.67

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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.