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Finding the Fourth Proportional to 190.04, 260.71 and 184.60

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Solution

The fourth proportional to 190.04, 260.71 and 184.60 is: 253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.04 : 260.71 = 184.60 : x
  2. Step 2: Convert to fraction form
    190.04/260.71 = 184.60/x
  3. Step 3: Cross multiply
    190.04x = 260.71 × 184.60
  4. Step 4: Simplify right side
    190.04x = 48,127.07
  5. Step 5: Solve for x
    x = 48,127.07/190.04
  6. Step 6: Final answer
    x = 253.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.