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Finding the Fourth Proportional to 314.86, 434.32 and 183.84

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Solution

The fourth proportional to 314.86, 434.32 and 183.84 is: 253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 434.32 = 183.84 : x
  2. Step 2: Convert to fraction form
    314.86/434.32 = 183.84/x
  3. Step 3: Cross multiply
    314.86x = 434.32 × 183.84
  4. Step 4: Simplify right side
    314.86x = 79,845.39
  5. Step 5: Solve for x
    x = 79,845.39/314.86
  6. Step 6: Final answer
    x = 253.59

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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.