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Finding the Fourth Proportional to 314.63, 434.19 and 176.63

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Solution

The fourth proportional to 314.63, 434.19 and 176.63 is: 243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.63 : 434.19 = 176.63 : x
  2. Step 2: Convert to fraction form
    314.63/434.19 = 176.63/x
  3. Step 3: Cross multiply
    314.63x = 434.19 × 176.63
  4. Step 4: Simplify right side
    314.63x = 76,688.81
  5. Step 5: Solve for x
    x = 76,688.81/314.63
  6. Step 6: Final answer
    x = 243.75

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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.