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Finding the Fourth Proportional to 368.51, 552.77 and 176.09

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Solution

The fourth proportional to 368.51, 552.77 and 176.09 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.51 : 552.77 = 176.09 : x
  2. Step 2: Convert to fraction form
    368.51/552.77 = 176.09/x
  3. Step 3: Cross multiply
    368.51x = 552.77 × 176.09
  4. Step 4: Simplify right side
    368.51x = 97,336.39
  5. Step 5: Solve for x
    x = 97,336.39/368.51
  6. Step 6: Final answer
    x = 264.14

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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.