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Finding the Fourth Proportional to 184.04, 253.80 and 177.80

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Solution

The fourth proportional to 184.04, 253.80 and 177.80 is: 245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.04 : 253.80 = 177.80 : x
  2. Step 2: Convert to fraction form
    184.04/253.80 = 177.80/x
  3. Step 3: Cross multiply
    184.04x = 253.80 × 177.80
  4. Step 4: Simplify right side
    184.04x = 45,125.64
  5. Step 5: Solve for x
    x = 45,125.64/184.04
  6. Step 6: Final answer
    x = 245.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.