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Finding the Fourth Proportional to 373.64, 560.58 and 181.16

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Solution

The fourth proportional to 373.64, 560.58 and 181.16 is: 271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.64 : 560.58 = 181.16 : x
  2. Step 2: Convert to fraction form
    373.64/560.58 = 181.16/x
  3. Step 3: Cross multiply
    373.64x = 560.58 × 181.16
  4. Step 4: Simplify right side
    373.64x = 101,554.67
  5. Step 5: Solve for x
    x = 101,554.67/373.64
  6. Step 6: Final answer
    x = 271.80

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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.