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Finding the Fourth Proportional to 456.08, 684.14 and 148.14

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Solution

The fourth proportional to 456.08, 684.14 and 148.14 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.08 : 684.14 = 148.14 : x
  2. Step 2: Convert to fraction form
    456.08/684.14 = 148.14/x
  3. Step 3: Cross multiply
    456.08x = 684.14 × 148.14
  4. Step 4: Simplify right side
    456.08x = 101,347.76
  5. Step 5: Solve for x
    x = 101,347.76/456.08
  6. Step 6: Final answer
    x = 222.22

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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.