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Finding the Fourth Proportional to 186.04, 277.07 and 175

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Solution

The fourth proportional to 186.04, 277.07 and 175 is: 260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.04 : 277.07 = 175 : x
  2. Step 2: Convert to fraction form
    186.04/277.07 = 175/x
  3. Step 3: Cross multiply
    186.04x = 277.07 × 175
  4. Step 4: Simplify right side
    186.04x = 48,487.25
  5. Step 5: Solve for x
    x = 48,487.25/186.04
  6. Step 6: Final answer
    x = 260.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.