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Finding the Fourth Proportional to 185.04, 275.58 and 174

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Solution

The fourth proportional to 185.04, 275.58 and 174 is: 259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.04 : 275.58 = 174 : x
  2. Step 2: Convert to fraction form
    185.04/275.58 = 174/x
  3. Step 3: Cross multiply
    185.04x = 275.58 × 174
  4. Step 4: Simplify right side
    185.04x = 47,950.92
  5. Step 5: Solve for x
    x = 47,950.92/185.04
  6. Step 6: Final answer
    x = 259.14

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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.