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Finding the Fourth Proportional to 222.51, 307.05 and 139.64

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Solution

The fourth proportional to 222.51, 307.05 and 139.64 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.51 : 307.05 = 139.64 : x
  2. Step 2: Convert to fraction form
    222.51/307.05 = 139.64/x
  3. Step 3: Cross multiply
    222.51x = 307.05 × 139.64
  4. Step 4: Simplify right side
    222.51x = 42,874.40
  5. Step 5: Solve for x
    x = 42,874.40/222.51
  6. Step 6: Final answer
    x = 192.68

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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.