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Finding the Fourth Proportional to 369.12, 553.35 and 174.05

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Solution

The fourth proportional to 369.12, 553.35 and 174.05 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.12 : 553.35 = 174.05 : x
  2. Step 2: Convert to fraction form
    369.12/553.35 = 174.05/x
  3. Step 3: Cross multiply
    369.12x = 553.35 × 174.05
  4. Step 4: Simplify right side
    369.12x = 96,307.80
  5. Step 5: Solve for x
    x = 96,307.80/369.12
  6. Step 6: Final answer
    x = 260.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.