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Finding the Fourth Proportional to 304.59, 456.95 and 99.14

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Solution

The fourth proportional to 304.59, 456.95 and 99.14 is: 148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.59 : 456.95 = 99.14 : x
  2. Step 2: Convert to fraction form
    304.59/456.95 = 99.14/x
  3. Step 3: Cross multiply
    304.59x = 456.95 × 99.14
  4. Step 4: Simplify right side
    304.59x = 45,303.41
  5. Step 5: Solve for x
    x = 45,303.41/304.59
  6. Step 6: Final answer
    x = 148.74

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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.