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Finding the Fourth Proportional to 188.04, 283.77 and 180.93

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Solution

The fourth proportional to 188.04, 283.77 and 180.93 is: 273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.04 : 283.77 = 180.93 : x
  2. Step 2: Convert to fraction form
    188.04/283.77 = 180.93/x
  3. Step 3: Cross multiply
    188.04x = 283.77 × 180.93
  4. Step 4: Simplify right side
    188.04x = 51,342.51
  5. Step 5: Solve for x
    x = 51,342.51/188.04
  6. Step 6: Final answer
    x = 273.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.