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Finding the Fourth Proportional to 368.47, 552.64 and 108.51

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Solution

The fourth proportional to 368.47, 552.64 and 108.51 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.47 : 552.64 = 108.51 : x
  2. Step 2: Convert to fraction form
    368.47/552.64 = 108.51/x
  3. Step 3: Cross multiply
    368.47x = 552.64 × 108.51
  4. Step 4: Simplify right side
    368.47x = 59,966.97
  5. Step 5: Solve for x
    x = 59,966.97/368.47
  6. Step 6: Final answer
    x = 162.75

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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.