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Finding the Fourth Proportional to 346.67, 478.23 and 242.00

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Solution

The fourth proportional to 346.67, 478.23 and 242.00 is: 333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.67 : 478.23 = 242.00 : x
  2. Step 2: Convert to fraction form
    346.67/478.23 = 242.00/x
  3. Step 3: Cross multiply
    346.67x = 478.23 × 242.00
  4. Step 4: Simplify right side
    346.67x = 115,729.27
  5. Step 5: Solve for x
    x = 115,729.27/346.67
  6. Step 6: Final answer
    x = 333.84

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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.