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Finding the Fourth Proportional to 313.00, 469.50 and 168.82

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Solution

The fourth proportional to 313.00, 469.50 and 168.82 is: 253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.00 : 469.50 = 168.82 : x
  2. Step 2: Convert to fraction form
    313.00/469.50 = 168.82/x
  3. Step 3: Cross multiply
    313.00x = 469.50 × 168.82
  4. Step 4: Simplify right side
    313.00x = 79,259.18
  5. Step 5: Solve for x
    x = 79,259.18/313.00
  6. Step 6: Final answer
    x = 253.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.