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Finding the Fourth Proportional to 375.34, 562.85 and 156.00

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Solution

The fourth proportional to 375.34, 562.85 and 156.00 is: 233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.34 : 562.85 = 156.00 : x
  2. Step 2: Convert to fraction form
    375.34/562.85 = 156.00/x
  3. Step 3: Cross multiply
    375.34x = 562.85 × 156.00
  4. Step 4: Simplify right side
    375.34x = 87,801.79
  5. Step 5: Solve for x
    x = 87,801.79/375.34
  6. Step 6: Final answer
    x = 233.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.