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Finding the Fourth Proportional to 224.90, 310 and 162.64

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Solution

The fourth proportional to 224.90, 310 and 162.64 is: 224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.90 : 310 = 162.64 : x
  2. Step 2: Convert to fraction form
    224.90/310 = 162.64/x
  3. Step 3: Cross multiply
    224.90x = 310 × 162.64
  4. Step 4: Simplify right side
    224.90x = 50,418.40
  5. Step 5: Solve for x
    x = 50,418.40/224.90
  6. Step 6: Final answer
    x = 224.18

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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.