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Finding the Fourth Proportional to 356.88, 534.65 and 174.02

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Solution

The fourth proportional to 356.88, 534.65 and 174.02 is: 260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.88 : 534.65 = 174.02 : x
  2. Step 2: Convert to fraction form
    356.88/534.65 = 174.02/x
  3. Step 3: Cross multiply
    356.88x = 534.65 × 174.02
  4. Step 4: Simplify right side
    356.88x = 93,039.79
  5. Step 5: Solve for x
    x = 93,039.79/356.88
  6. Step 6: Final answer
    x = 260.70

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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.