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Finding the Fourth Proportional to 222.66, 307.38 and 152.82

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Solution

The fourth proportional to 222.66, 307.38 and 152.82 is: 210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 307.38 = 152.82 : x
  2. Step 2: Convert to fraction form
    222.66/307.38 = 152.82/x
  3. Step 3: Cross multiply
    222.66x = 307.38 × 152.82
  4. Step 4: Simplify right side
    222.66x = 46,973.81
  5. Step 5: Solve for x
    x = 46,973.81/222.66
  6. Step 6: Final answer
    x = 210.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.