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Finding the Fourth Proportional to 369.76, 554.78 and 177.40

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Solution

The fourth proportional to 369.76, 554.78 and 177.40 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.76 : 554.78 = 177.40 : x
  2. Step 2: Convert to fraction form
    369.76/554.78 = 177.40/x
  3. Step 3: Cross multiply
    369.76x = 554.78 × 177.40
  4. Step 4: Simplify right side
    369.76x = 98,417.97
  5. Step 5: Solve for x
    x = 98,417.97/369.76
  6. Step 6: Final answer
    x = 266.17

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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.