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Finding the Fourth Proportional to 456.51, 684.69 and 148.32

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Solution

The fourth proportional to 456.51, 684.69 and 148.32 is: 222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.51 : 684.69 = 148.32 : x
  2. Step 2: Convert to fraction form
    456.51/684.69 = 148.32/x
  3. Step 3: Cross multiply
    456.51x = 684.69 × 148.32
  4. Step 4: Simplify right side
    456.51x = 101,553.22
  5. Step 5: Solve for x
    x = 101,553.22/456.51
  6. Step 6: Final answer
    x = 222.46

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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.