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Finding the Fourth Proportional to 204.51, 307.04 and 117.93

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Solution

The fourth proportional to 204.51, 307.04 and 117.93 is: 177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.51 : 307.04 = 117.93 : x
  2. Step 2: Convert to fraction form
    204.51/307.04 = 117.93/x
  3. Step 3: Cross multiply
    204.51x = 307.04 × 117.93
  4. Step 4: Simplify right side
    204.51x = 36,208.64
  5. Step 5: Solve for x
    x = 36,208.64/204.51
  6. Step 6: Final answer
    x = 177.05

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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.