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Finding the Fourth Proportional to 374.95, 562.38 and 101.06

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Solution

The fourth proportional to 374.95, 562.38 and 101.06 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.95 : 562.38 = 101.06 : x
  2. Step 2: Convert to fraction form
    374.95/562.38 = 101.06/x
  3. Step 3: Cross multiply
    374.95x = 562.38 × 101.06
  4. Step 4: Simplify right side
    374.95x = 56,833.04
  5. Step 5: Solve for x
    x = 56,833.04/374.95
  6. Step 6: Final answer
    x = 151.58

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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.