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Finding the Fourth Proportional to 304.03, 456.08 and 98.53

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Solution

The fourth proportional to 304.03, 456.08 and 98.53 is: 147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.03 : 456.08 = 98.53 : x
  2. Step 2: Convert to fraction form
    304.03/456.08 = 98.53/x
  3. Step 3: Cross multiply
    304.03x = 456.08 × 98.53
  4. Step 4: Simplify right side
    304.03x = 44,937.24
  5. Step 5: Solve for x
    x = 44,937.24/304.03
  6. Step 6: Final answer
    x = 147.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.