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Finding the Fourth Proportional to 601.84, 902.76 and 169

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Solution

The fourth proportional to 601.84, 902.76 and 169 is: 253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.84 : 902.76 = 169 : x
  2. Step 2: Convert to fraction form
    601.84/902.76 = 169/x
  3. Step 3: Cross multiply
    601.84x = 902.76 × 169
  4. Step 4: Simplify right side
    601.84x = 152,566.44
  5. Step 5: Solve for x
    x = 152,566.44/601.84
  6. Step 6: Final answer
    x = 253.50

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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.