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Finding the Fourth Proportional to 210.06, 314.88 and 169.53

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Solution

The fourth proportional to 210.06, 314.88 and 169.53 is: 254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 314.88 = 169.53 : x
  2. Step 2: Convert to fraction form
    210.06/314.88 = 169.53/x
  3. Step 3: Cross multiply
    210.06x = 314.88 × 169.53
  4. Step 4: Simplify right side
    210.06x = 53,381.61
  5. Step 5: Solve for x
    x = 53,381.61/210.06
  6. Step 6: Final answer
    x = 254.13

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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.