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Finding the Fourth Proportional to 205.80, 307.93 and 123.58

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Solution

The fourth proportional to 205.80, 307.93 and 123.58 is: 184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 307.93 = 123.58 : x
  2. Step 2: Convert to fraction form
    205.80/307.93 = 123.58/x
  3. Step 3: Cross multiply
    205.80x = 307.93 × 123.58
  4. Step 4: Simplify right side
    205.80x = 38,051.83
  5. Step 5: Solve for x
    x = 38,051.83/205.80
  6. Step 6: Final answer
    x = 184.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.