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Finding the Fourth Proportional to 314.90, 434.54 and 183.90

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Solution

The fourth proportional to 314.90, 434.54 and 183.90 is: 253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.90 : 434.54 = 183.90 : x
  2. Step 2: Convert to fraction form
    314.90/434.54 = 183.90/x
  3. Step 3: Cross multiply
    314.90x = 434.54 × 183.90
  4. Step 4: Simplify right side
    314.90x = 79,910.99
  5. Step 5: Solve for x
    x = 79,910.99/314.90
  6. Step 6: Final answer
    x = 253.77

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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.