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Finding the Fourth Proportional to 304.53, 420.29 and 188.11

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Solution

The fourth proportional to 304.53, 420.29 and 188.11 is: 259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.53 : 420.29 = 188.11 : x
  2. Step 2: Convert to fraction form
    304.53/420.29 = 188.11/x
  3. Step 3: Cross multiply
    304.53x = 420.29 × 188.11
  4. Step 4: Simplify right side
    304.53x = 79,060.75
  5. Step 5: Solve for x
    x = 79,060.75/304.53
  6. Step 6: Final answer
    x = 259.62

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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.