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Finding the Fourth Proportional to 248.52, 373.04 and 166.01

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Solution

The fourth proportional to 248.52, 373.04 and 166.01 is: 249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.52 : 373.04 = 166.01 : x
  2. Step 2: Convert to fraction form
    248.52/373.04 = 166.01/x
  3. Step 3: Cross multiply
    248.52x = 373.04 × 166.01
  4. Step 4: Simplify right side
    248.52x = 61,925.68
  5. Step 5: Solve for x
    x = 61,925.68/248.52
  6. Step 6: Final answer
    x = 249.18

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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.