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Finding the Fourth Proportional to 202.50, 302.34 and 172.08

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Solution

The fourth proportional to 202.50, 302.34 and 172.08 is: 256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 302.34 = 172.08 : x
  2. Step 2: Convert to fraction form
    202.50/302.34 = 172.08/x
  3. Step 3: Cross multiply
    202.50x = 302.34 × 172.08
  4. Step 4: Simplify right side
    202.50x = 52,026.67
  5. Step 5: Solve for x
    x = 52,026.67/202.50
  6. Step 6: Final answer
    x = 256.92

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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.