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Finding the Fourth Proportional to 456.69, 684.69 and 148.47

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Solution

The fourth proportional to 456.69, 684.69 and 148.47 is: 222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 684.69 = 148.47 : x
  2. Step 2: Convert to fraction form
    456.69/684.69 = 148.47/x
  3. Step 3: Cross multiply
    456.69x = 684.69 × 148.47
  4. Step 4: Simplify right side
    456.69x = 101,655.92
  5. Step 5: Solve for x
    x = 101,655.92/456.69
  6. Step 6: Final answer
    x = 222.59

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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.