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Finding the Fourth Proportional to 222.49, 307.07 and 152.62

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Solution

The fourth proportional to 222.49, 307.07 and 152.62 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.49 : 307.07 = 152.62 : x
  2. Step 2: Convert to fraction form
    222.49/307.07 = 152.62/x
  3. Step 3: Cross multiply
    222.49x = 307.07 × 152.62
  4. Step 4: Simplify right side
    222.49x = 46,865.02
  5. Step 5: Solve for x
    x = 46,865.02/222.49
  6. Step 6: Final answer
    x = 210.64

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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.