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Finding the Fourth Proportional to 304.16, 456.16 and 98.70

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Solution

The fourth proportional to 304.16, 456.16 and 98.70 is: 148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.16 : 456.16 = 98.70 : x
  2. Step 2: Convert to fraction form
    304.16/456.16 = 98.70/x
  3. Step 3: Cross multiply
    304.16x = 456.16 × 98.70
  4. Step 4: Simplify right side
    304.16x = 45,022.99
  5. Step 5: Solve for x
    x = 45,022.99/304.16
  6. Step 6: Final answer
    x = 148.02

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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.