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Finding the Fourth Proportional to 178.02, 245.52 and 172.35

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Solution

The fourth proportional to 178.02, 245.52 and 172.35 is: 237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 245.52 = 172.35 : x
  2. Step 2: Convert to fraction form
    178.02/245.52 = 172.35/x
  3. Step 3: Cross multiply
    178.02x = 245.52 × 172.35
  4. Step 4: Simplify right side
    178.02x = 42,315.37
  5. Step 5: Solve for x
    x = 42,315.37/178.02
  6. Step 6: Final answer
    x = 237.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.