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Finding the Fourth Proportional to 221.42, 305.70 and 151.50

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Solution

The fourth proportional to 221.42, 305.70 and 151.50 is: 209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 305.70 = 151.50 : x
  2. Step 2: Convert to fraction form
    221.42/305.70 = 151.50/x
  3. Step 3: Cross multiply
    221.42x = 305.70 × 151.50
  4. Step 4: Simplify right side
    221.42x = 46,313.55
  5. Step 5: Solve for x
    x = 46,313.55/221.42
  6. Step 6: Final answer
    x = 209.17

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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.