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Finding the Fourth Proportional to 368.61, 552.36 and 160.24

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Solution

The fourth proportional to 368.61, 552.36 and 160.24 is: 240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.61 : 552.36 = 160.24 : x
  2. Step 2: Convert to fraction form
    368.61/552.36 = 160.24/x
  3. Step 3: Cross multiply
    368.61x = 552.36 × 160.24
  4. Step 4: Simplify right side
    368.61x = 88,510.17
  5. Step 5: Solve for x
    x = 88,510.17/368.61
  6. Step 6: Final answer
    x = 240.12

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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.