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Finding the Fourth Proportional to 170.02, 253.77 and 149.47

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Solution

The fourth proportional to 170.02, 253.77 and 149.47 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.02 : 253.77 = 149.47 : x
  2. Step 2: Convert to fraction form
    170.02/253.77 = 149.47/x
  3. Step 3: Cross multiply
    170.02x = 253.77 × 149.47
  4. Step 4: Simplify right side
    170.02x = 37,931.00
  5. Step 5: Solve for x
    x = 37,931.00/170.02
  6. Step 6: Final answer
    x = 223.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.