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Finding the Fourth Proportional to 346.93, 478.64 and 222.66

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Solution

The fourth proportional to 346.93, 478.64 and 222.66 is: 307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.93 : 478.64 = 222.66 : x
  2. Step 2: Convert to fraction form
    346.93/478.64 = 222.66/x
  3. Step 3: Cross multiply
    346.93x = 478.64 × 222.66
  4. Step 4: Simplify right side
    346.93x = 106,572.87
  5. Step 5: Solve for x
    x = 106,572.87/346.93
  6. Step 6: Final answer
    x = 307.19

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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.