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Finding the Fourth Proportional to 368.66, 553.01 and 118.46

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Solution

The fourth proportional to 368.66, 553.01 and 118.46 is: 177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.66 : 553.01 = 118.46 : x
  2. Step 2: Convert to fraction form
    368.66/553.01 = 118.46/x
  3. Step 3: Cross multiply
    368.66x = 553.01 × 118.46
  4. Step 4: Simplify right side
    368.66x = 65,510.35
  5. Step 5: Solve for x
    x = 65,510.35/368.66
  6. Step 6: Final answer
    x = 177.70

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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.